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?

Question

Gemma Nielsen

Mathematics

24 July, 04:16

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?

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Answers (1)

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Aylin Orr · Answer 1

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