Sam has a lot of coins. She counted that she has 5 times as many dimes as quarters. The value of her dimes and quarters together is $6.75 . How many dimes does Sam have?

Answer 1

45 dimes, 9 quarters

D = 5Q

D -5Q = 0

10D - 50Q = 0

10D +25Q = 675

subtract to get

-75Q = -675

Q = 675/75 = 9

D = 5(9) = 45

check the answer

45(10) + 9(25) = 450+225 = 675