A man has 14 coins in his pocket, all of which are dimes and quarters. if the total value of his change is $1.70, how many dimes

Question

8090 [49]

3 years ago

14

A man has 14 coins in his pocket, all of which are dimes and quarters. if the total value of his change is $1.70, how many dimes

and how many quarters does he have?

Mathematics

1 answer:

DaniilM [7] · Answer 1 · 2021-11-22T09:59:48+03:00

DaniilM [7]3 years ago

8 0

D + q = 14....d = 14 - q
0.10d + 0.25q = 1.70

0.10(14 - q) + 0.25q = 1.70
1.40 - 0.10q + 0.25q = 1.70
-0.10q + 0.25q = 1.70 - 1.40
0.15q = 0.30
q = 0.30 / 0.15
q = 2 <=== 2 quarters

d + q = 14
d + 2 = 14
d = 14 - 2
d = 12 <=== 12 dimes