SOLUTIONS

*PLANET 1*

- Buy a package of Zoogs. What is the fewest number of coins
needed to purchase a package of zoogs using exact change?
__Make sure you list types of coins as well.__

**1 TRIANGLE**

- Which coin is worth the least and how many does it take to
equal each of the other coins?

**The****SQUARE****is worth the least. It takes****2 SQUARES****to equal one circle and****7 SQUARES****to equal one triangle.**

- How many of the least valuable coins would it take to buy a
package of zoogs?

**It takes****7 SQUARES****to buy a package of zoogs.**

- Buy a package of Glorps. What is the fewest number of coins
needed to purchase a package of Glorps using exact change? (Include
the types of coins in your answer.) How many of the least valuable
coins would it take to buy a package of Glorps?

**Exact change**:**TRIANGLE, 2 CIRCLES**

**Least valuable**:**11 SQUARES**

- Another Earthling arrives on the next shuttle and wants to
try some Mushniks. Explain how you figured out the relationship
between each coin.

**Answers will vary.**

- What is the fewest number and types of coins needed to purchase
a package of Mushniks using exact change?

**2 TRIANGLES AND 1 SQUARE**

- Buy a package of Zoogs. What is the fewest number of coins
needed to purchase a package of zoogs using exact change?
__Make sure you list types of coins as well.__

**3 SQUARES**

- Which coin is worth the least and how many does it take to
equal each of the other coins?

**The****SQUARE****is worth the least. It takes****7 SQUARES****to equal one circle and****11 SQUARES****to equal one triangle.**

- How many of the least valuable coins would it take to buy a
package of zoogs?

**It takes****3 SQUARES****to buy a package of zoogs.**

- Buy a package of Glorps. What is the fewest number of coins
needed to purchase a package of Glorps using exact change? (Include
the types of coins in your answer.) How many of the least valuable
coins would it take to buy a package of Glorps?

**Exact change**:**2 CIRCLES, 1 SQUARE****Least valuable**:**15 SQUARES**

- Another Earthling arrives on the next shuttle and wants to
try some Mushniks. Explain how you figured out the relationship
between each coin.

**Answers will vary.**

- What is the fewest number and types of coins needed to purchase
a package of Mushniks using exact change?

**2 TRIANGLES**

- Buy a package of Zoogs. What is the fewest number of coins
needed to purchase a package of zoogs using exact change?
__Make sure you list types of coins as well.__

**1 SQUARE AND 1 CIRCLE**

- Which coin is worth the least and how many does it take to
equal each of the other coins?

**The****SQUARE****is worth the least. It takes****8 SQUARES****to equal one circle and****3 SQUARES****to equal one triangle.**

- How many of the least valuable coins would it take to buy a
package of zoogs?

**It takes****9 SQUARES****to buy a package of zoogs.**

- Buy a package of Glorps. What is the fewest number of coins
needed to purchase a package of Glorps using exact change? (Include
the types of coins in your answer.) How many of the least valuable
coins would it take to buy a package of Glorps?

**Exact change**:**1 SQUARE, 1 CIRCLE, 1 TRIANGLE.****Least valuable**:**12 SQUARES**

- Another Earthling arrives on the next shuttle and wants to
try some Mushniks. Explain how you figured out the relationship
between each coin.

**Answers will vary.**

- What is the fewest number and types of coins needed to purchase
a package of Mushniks using exact change?

**2 CIRCLES AND 1 SQUARE.**

- Buy a package of Zoogs. What is the fewest number of coins
needed to purchase a package of zoogs using exact change?
__Make sure you list types of coins as well.__

**1 SQUARE AND 1 TRIANGLE**

- Which coin is worth the least and how many does it take to
equal each of the other coins?

**The****SQUARE****is worth the least. It takes****5 SQUARES****to equal one circle and****3 SQUARES****to equal one triangle.**

- How many of the least valuable coins would it take to buy a
package of zoogs?

**It takes****4 SQUARES****to buy a package of zoogs.**

- Buy a package of Glorps. What is the fewest number of coins
needed to purchase a package of Glorps using exact change? (Include
the types of coins in your answer.) How many of the least valuable
coins would it take to buy a package of Glorps?

**Exact change**:**(2 TRIANGLES + 1 SQUARE) OR (1 CIRCLE AND 2 SQUARES)**

**Least valuable**:**7 SQUARES**

- Another Earthling arrives on the next shuttle and wants to
try some Mushniks. Explain how you figured out the relationship
between each coin.

**Answers will vary.**

- What is the fewest number and types of coins needed to purchase
a package of Mushniks using exact change?

**(3 TRIANGLES) OR (1 SQUARE, 1 CIRCLE + 1 TRIANGLE)**

- Buy a package of Zoogs. What is the fewest number of coins
needed to purchase a package of zoogs using exact change?
__Make sure you list types of coins as well.__

**1 SQUARE AND 1 TRIANGLE**

- Which coin is worth the least and how many does it take to
equal each of the other coins?

**The****CIRCLE****is worth the least. It takes****3 CIRCLES****to equal one SQUARE and****2 CIRCLES****to equal one triangle.**

- How many of the least valuable coins would it take to buy a
package of zoogs?

**It takes****5 CIRCLES****to buy a package of zoogs.**

- Buy a package of Glorps. What is the fewest number of coins
needed to purchase a package of Glorps using exact change? (Include
the types of coins in your answer.) How many of the least valuable
coins would it take to buy a package of Glorps?

**Exact change**:**(1 SQUARE + 2 TRIANGLES) OR (2 SQUARES + 1 CIRCLE)****Least valuable**:**7 CIRCLES**

- Another Earthling arrives on the next shuttle and wants to
try some Mushniks. Explain how you figured out the relationship
between each coin.

**Answers will vary.**

- What is the fewest number and types of coins needed to purchase
a package of Mushniks using exact change?

**1 TRIANGLES AND 2 SQUARES**

- Buy a package of Zoogs. What is the fewest number of coins
needed to purchase a package of zoogs using exact change?
__Make sure you list types of coins as well.__

**2 SQUARES**

- Which coin is worth the least and how many does it take to
equal each of the other coins?

**The****CIRCLE****is worth the least. It takes****4 CIRLCES****to equal one SQUARE and****3 CIRCLES****to equal one triangle.**

- How many of the least valuable coins would it take to buy a
package of zoogs?

**It takes****8 CIRCLES****to buy a package of zoogs.**

- Buy a package of Glorps. What is the fewest number of coins
needed to purchase a package of Glorps using exact change? (Include
the types of coins in your answer.) How many of the least valuable
coins would it take to buy a package of Glorps?

**Exact change**:**1 SQURE AND 2 TRIANGLES****Least valuable**:**10 CIRCLES.**

- Another Earthling arrives on the next shuttle and wants to
try some Mushniks. Explain how you figured out the relationship
between each coin.

**Answers will vary.**

- What is the fewest number and types of coins needed to purchase
a package of Mushniks using exact change?

**(6 SQUARES AND 1 TRIANGLE) OR (4 SQUARES AND 3 TRIANGLES)**

- Buy a package of Zoogs. What is the fewest number of coins
needed to purchase a package of zoogs using exact change?
__Make sure you list types of coins as well.__

**1 TRIANGLE**

- Which coin is worth the least and how many does it take to
equal each of the other coins?

**The****CIRCLE****is worth the least. It takes****9 CIRCLES****to equal one SQUARE and****7 CIRCLES****to equal one triangle.**

- How many of the least valuable coins would it take to buy a
package of zoogs?

**It takes****7 CIRCLES****to buy a package of zoogs.**

- Buy a package of Glorps. What is the fewest number of coins
needed to purchase a package of Glorps using exact change? (Include
the types of coins in your answer.) How many of the least valuable
coins would it take to buy a package of Glorps?

**Exact change**:**1 SQUARE AND 2 CIRCLES****Least valuable**:**11 CIRCLES.**

- Another Earthling arrives on the next shuttle and wants to
try some Mushniks. Explain how you figured out the relationship
between each coin.

**Answers will vary.**

- What is the fewest number and types of coins needed to purchase
a package of Mushniks using exact change?

**2 TRIANGLES AND 1 CIRCLE**

- Buy a package of Zoogs. What is the fewest number of coins
needed to purchase a package of zoogs using exact change?
__Make sure you list types of coins as well.__

**1 SQUARE AND 2 TRIANGLES**

- Which coin is worth the least and how many does it take to
equal each of the other coins?

**The****TRIANGLE****is worth the least. It takes****5 TRIANGLES****to equal one circle and****7 TRIANGLES****to equal one SQUARE.**

- How many of the least valuable coins would it take to buy a
package of zoogs?

**It takes****7 TRIANGLES****to buy a package of zoogs.**

- Buy a package of Glorps. What is the fewest number of coins
needed to purchase a package of Glorps using exact change? (Include
the types of coins in your answer.) How many of the least valuable
coins would it take to buy a package of Glorps?

**Exact change**:**1 SQUARE AND 1 CIRCLE.****Least valuable**:**12 TRIANGLES.**

- Another Earthling arrives on the next shuttle and wants to
try some Mushniks. Explain how you figured out the relationship
between each coin.

**Answers will vary.**

- What is the fewest number and types of coins needed to purchase
a package of Mushniks using exact change?

**(2 SQUARES AND 3 TRIANGLES) OR (3 CIRCLES AND 2 TRIANGLES).**

- Buy a package of Zoogs. What is the fewest number of coins
needed to purchase a package of zoogs using exact change?
__Make sure you list types of coins as well.__

**1 SQUARE AND 1 TRIANGLE**

- Which coin is worth the least and how many does it take to
equal each of the other coins?

**The****TRIANGLE****is worth the least. It takes****5 TRIANGLES****to equal one circle and****11 TRIANGLES****to equal one SQUARE.**

- How many of the least valuable coins would it take to buy a
package of zoogs?

**It takes****12 TRIANGLES****to buy a package of zoogs.**

- Buy a package of Glorps. What is the fewest number of coins
needed to purchase a package of Glorps using exact change? (Include
the types of coins in your answer.) How many of the least valuable
coins would it take to buy a package of Glorps?

**Exact change**:**1 SQUARE AND 1 CIRCLE.****Least valuable**:**16 TRIANGLES.**

- Another Earthling arrives on the next shuttle and wants to
try some Mushniks. Explain how you figured out the relationship
between each coin.

**Answers will vary.**

- What is the fewest number and types of coins needed to purchase
a package of Mushniks using exact change?

**2 SQUARES AND 1 TRIANGLE.**

- Buy a package of Zoogs. What is the fewest number of coins
needed to purchase a package of zoogs using exact change?
__Make sure you list types of coins as well.__

**1 TRIANGLE**

- Which coin is worth the least and how many does it take to
equal each of the other coins?

**The****TRIANGLE****is worth the least. It takes****11 TRIANGLES****to equal one circle and****8 TRIANGLES****to equal one SQUARE.**

- How many of the least valuable coins would it take to buy a
package of zoogs?

**It takes****1 TRIANGLE****to buy a package of zoogs.**

- Buy a package of Glorps. What is the fewest number of coins
needed to purchase a package of Glorps using exact change? (Include
the types of coins in your answer.) How many of the least valuable
coins would it take to buy a package of Glorps?

**Exact change**:**1 CIRCLE AND 2 TRIANGLES****Least valuable**:**13 TRIANGLES.**

- Another Earthling arrives on the next shuttle and wants to
try some Mushniks. Explain how you figured out the relationship
between each coin.

**Answers will vary.**

- What is the fewest number and types of coins needed to purchase
a package of Mushniks using exact change?

**3 TRIANGLES.**

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