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If Chris has 4 times as many nickels as quarters and they have a combined value of 180 cents, how many of each coin does he have?

User Carter
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2 Answers

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82 to coins and quadrilateral
User Kjarsenal
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1 nickel = 5 cents

1 quarter = 25 cents

Let the number of nickels be = n

Let the number of quarters be = q

As mentioned, Chris has 4 times as many nickels as quarters

so, n=4q ----- (1)

The coins have a combined value of 180 cents, so


5n+25q=180 ----- (2)

Putting n=4q in equation (2)


5(4q)+25q=180


20q+25q=180


45q=180


q=4

Hence, quarters are 4

As, n=4q


n=4*4=16

Hence, nickels are 16


User Ardy Febriansyah
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