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# could you help me with this math problem?!?

Set up and solve a system of equations for each problem. Clearly identify what each variable is representing.

1. A collection of 84 quarters and dimes is worth $15.30. How many of each type pf coin are there?

### 2 Answers

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- DavidLv 71 decade agoFavorite Answer
let x= number of dimes

let y= number of quarters

x+y=84

.1x+.25y=15.3

x=84-y

.1(84-y)+.25y=15.3

8.4-.1y+.25y=15.3

.15y=6.9

y=46

x=38

- 1 decade ago
so we know the following two equations...

.25x+.10y = 15.30

x+y=84

x = quarters, y = dimes

multiply the bottom equation by .1 and subtract the two equations to get:

.15x=6.9 which x=46

plug x into the second equation and y = 38

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