A man has 34 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 565 cents, how many dimes and how many quarters does he have?

Frida Faulkner

Frida Faulkner

Answered question

2022-09-12

A man has 34 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 565 cents, how many dimes and how many quarters does he have?

Answer & Explanation

Zayden Dorsey

Zayden Dorsey

Beginner2022-09-13Added 18 answers

34=x+y
34−x=y
565 = 10 x + 25 y
Substitute the first equation, so
565 = 10 x + 25 ( 34 - x )
565 = 10 x + 850 - 25 x
15 x = 285
x = 19 dimes
Therefore
34 - 19 = 15 quarters

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