If Quinn has 4 times as many quarters as nickels and they have a combined value of 525 cents, how ma | MathCelebrity Forum

If Quinn has 4 times as many quarters as nickels and they have a combined value of 525 cents, how ma

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If Quinn has 4 times as many quarters as nickels and they have a combined value of 525 cents, how many of each coin does he have?

Using q for quarters and n for nickels, and using 525 cents as $5.25, we're given two equations:
  1. q = 4n
  2. 0.25q + 0.05n = 5.25
Substitute equation (1) into equation (2) for q:
0.25(4n) + 0.05n = 5.25

Multiply through and simplify:
n + 0.05n = 5.25

To solve this equation for n, we type it in our search engine and we get:
n = 5

To get q, we plug in n = 5 into equation (1) above:
q = 4(5)
q = 20
 
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