Simple Equations from Word ProblemsDate: 5/23/96 at 17:53:48 From: Anonymous Subject: Simple Equations Dear Dr. Math, I am in grade seven and I'm having a bit of trouble with some problem solving questions. The problems are: 1) The Hight Jets played 40 games in one season. They won 10 more then they lost, and they tied 2 games. How many games did the Jets win? 2) Jamal has a coin bank with special compartments for quarters, dimes and nickles. In how many different ways can Jamal take out 40 cents? Thanks. - Freddy Date: 5/30/96 at 14:18:25 From: Doctor Darren Subject: Re: Simple Equations 1) Well, we know that if we add the number of games they won, the number that they lost, and the number that they tied (= 2), then we will get 40. Furthermore, they lost 10 fewer games than they won. Thus, L = W - 10 and L + W + 2 = 40. Plugging the first equation into the second, we get 2W - 8 = 40, or W = 24. Thus, L = 14, and T = 2. 2) If Jamal takes out one quarter, then he still needs to take out 15 cents, which he can do in two ways (1 Dime and 1 Nickel, or 3 Nickels). If he takes out no quarters, than he can take out 0,1,2,3, or 4 dimes, which will then determine the number of nickels he needs to take out (5N + 10D = 40). Thus, there are 7 ways he can do it. I hope this helps. -Doctor Darren, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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