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## Ben has twenty-six coins in her pocket are all dollars(1$ coins) and quarters, and they add up to seventeen dollars in value. How many of ea

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Ben has twenty-six coins in her pocket are all dollars(1$ coins) and quarters, and they add up to seventeen dollars in value. How many of each coin does he have

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Mathematics
3 years
2021-08-02T05:24:12+00:00
2021-08-02T05:24:12+00:00 1 Answers
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## Answers ( )

Answer:

14 $1 coin

12 quarter coin

Step-by-step explanation:

Let :

x = $1 dollar coin

y = $0.25 (1 quarter) coin

x + y = 26 – – – (1)

1x + 0.25y = 17 – – – – (2)

From (1) :

x = 26 – y

Put x = 26 – y in (2)

1(26 – y) + 0.25y = 17

26 – y + 0.25y = 17

-y + 0.25y = 17 – 26

-0.75y = – 9

Divide both sides by – 0.75

-0.75y /- 0.75 = – 9 / – 0.75

y = 12

Put y = 12 in (1)

x = 26 – 12

x = 14