## Charlie’s Gumballs

Samantha purchased subway tokens from a machine. The instructions said that, for any amount of money you insert, you would receive the maximum number of tokens your money can purchase, along with your change.

Samantha put a $20 bill into the machine. She received 12 tokens and $2.60 in change.

There are eight teams in the Northern New Jersey High School Soccer League. Here are the recent results:

- Eastside beat Clifton, Montclair, Nutley, and Kennedy High Schools.
- Montclair beat Nutley.
- Bloomfield beat Don Bosco, Clifton, Eastside, Nutley, Kennedy, and Montclair.
- Hackensack beat Bloomfield, Don Bosco, Eastside, Clifton, Montclair, and Kennedy.
- Nutley beat Hackensack.
- Don Bosco beat Eastside, Nutley, Clifton, Kennedy, and Montclair.
- Clifton beat Kennedy, Nutley, and Montclair.

The Algebra and Geometry classes at Mathland Hgh School are planning to play a game of Capture the Flag in the woods behind the school. They’ve been discussing how to fairly divide the woods into two territories.

They’ve drawn a map of the woods and added a coordinate plane. The Algebra class will put their base at (-8, 15). The Geometry class will put their base at (4, -3).

I am 3 feet tall.

My dad is 6 feet tall.

In the wake of the recent tsunami, a company decided to donate to a disaster relief fund. The company started by pledging a certain amount of money.

To encourage their 60 employees to make individual contributions, the company pledge to also donate an additional fixed amount for each employee who made a personal donation to the fund.

The company treasurer determined that if one-third of the employees chose to make a donation, the company’s part of the total donation would be $7000. If 50% of the employees donated, the company’s part of the total donation would be $7750.

Ethan, Fran, and Gloria have summer jobs at the local Dairy Freeze. They collect their own tips and then share them equally. One week Ethan collected $25 in tips, Fran collected $48, and Gloria collected $41.

A regular hexagon and an equilateral triangle have the same perimeter.

Did you know that there is a famous illusion associated with Lincoln’s “stove pipe” hat? The hat looks like it’s taller than it is wide, even when the height and width (including the brim) are the same. Let’s make a hat:

- Cut a circle with a radius of 5 1/2 inches.
- Cut a circle from the center of the first circle with a radius of 3 1/2 inches.

The smaller circle will form the tip of the hat, and what’s left of the larger circle will form the hat brim. If we had a rectangular sheet of paper of the right size, we could make the cylindrical part of the top hat.

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