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olga_2 [115]
3 years ago
15

Ben has a collection of quarters and nickels worth $5.35. If the number of nickels is 5 less than twice the number of quarters,

find the number of each coin.
Mathematics
1 answer:
butalik [34]3 years ago
6 0

(<em>q = quarters, n = nickles</em>)

<u>First, create your system of equations:</u>

   25q + 5n = 535 cents

   n = 2q - 5

<u>Second, Substitute for n:</u>

   25q + 5(2q - 5) = 535

<u>Simplify:</u>

   25q + 10q - 25 = 535

<u>Simplify to solve for q:</u>

   35q=560

   q=16

<u>Next, solve for n by plugging the value of q back into the equation:</u>

   n=2q - 5

   n=32-5

   n=27

There would be 16 quarters and 27 nickles.

<em>Hoped this helped!</em>

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