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adell [148]
3 years ago
7

Collection of nickels and quarters is worth $2.85. There are three more nickels and quarters. How many nickels and quarters are

there?
Mathematics
1 answer:
alexdok [17]3 years ago
3 0

The pile contains 12 nickels and 9 quarters.

Let <em>x</em> = the number of nickels and <em>y</em> = the number of quarters.

Then, we have two equations:

(1) $0.05x + $0.25y  = $2.85

(2) x = y +3

Substitute the value of <em>x</em> from Equation (2) into Equation (1).

0.05(<em>y</em>+3) + 0.25<em>y</em> = 2.85

0.05<em>y</em> + 0.15 + 0.25<em>y</em> = 2.85

0.30<em>y</em> = 2.85 – 0.15 = 2.70

y = 2.70/0.30 = 9

Substitute the value of <em>y</em> in Equation (2).

x = 9 + 3 = 12

The pile contains 12 nickels and 9 quarters.

<em>Check</em>: 12×$0.05 + 9×$0.25 = $0.60 + $2.25 = $2.85.

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