Uncle Ralph offers you a challenge. He says that if you can tell him how many coins of each type are in his pocket, then you can have the money.

Question

He says that if you can tell him how many coins of each type are in his pocket, then you can have the money.

-He has 17 coins in his pocket

- He has only dimes and quarters

- The coins are worth $3.35

Write an equation to represent the total number of all coins in his pocket?

Write an equation to represent the total amount of money (in dollars) in his pocket?

Answer 1

D = # dimes

Q = # quarters

D + Q = 17

10D + 25Q = 335.

I almost always prefer to solve by elimination although substitution may be easier in this case.

Since the problem does not ask for you to solve this simultaneous set, I won't solve it for you.

Answer 2

q represents the number of quarter

17 - q represents the number of dimes

0.25q + 0.10(17 - q) = 3.35

Can you solve for q and answer?