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

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2 months 2021-08-02T05:24:12+00:00 1 Answers 4 views 0

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