Question

I have $9.45 in quarters and dimes in my pocket. The number of dimes is 18 less than twice the number of quarters. How many of each coin are there?

Answer 1

32 dimes and 25 quarters

Step-by-step explanation:

let Q = quarters and D = dimes

2Q - 18 = D

25Q + 10D = 945

we can replace D

25Q + 10(2Q - 18) = 945

25Q + 20Q -180 = 945

45Q = 1,125

Q = 1,125 / 45 = 25

D = (2 x 25) - 18 = 50 - 18 = 32

to check the answer:

(25 x 25) + (32 x 10) = 625 + 320 = 945