I really need help on this problem. I'm unable to concentrate because I have to memorize a whole play script today too, so I'm kind of stressing a bit too much for this one problem. The problem is "Marcy has a total of 100 dimes and quarters. If the total value of the coins is $14.05, how many quarters does she have?"

Question

ANSWERS:
A. 27
B. 40
C. 56
D. 73

Answer 1

if she has d dimes, then she has 100-d quarters.

now, add up the value of the coins:

10d + 25(100-d) = 1405
10d + 2500 - 25d = 1405
15d = 1095
d = 73

so, 73 dimes, 27 quarters.