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Aiden has a collection of 63 nickels and quarters in his piggy bank. If the total value of the coins is $10.75, how many nickels does he have?

Please answer the question and show wok!

Respuesta :

kaywalke112
n + q = 63 coins

5n + 25q = 1075 (do this in cents)

5n + 25q = 1075
-(5n + 5q = 315)

20q = 760

q = 38 quarters

n = 25 nickels

Number of nickels coin in the given question is 25 coins

Given that;

Number of Total coins = 63

Cost of total coin = $10.75

Find:

Number of nickels coin

Computation:

We know that;

$1 = 20 nickels

$1 = 4 quarter

Assume;

Number of nickels coin = a

Number of quarters = 63 - a

So,

0.05(a) + .25(63 - a) = 10.75

0.05a + 15.75 - 0.25a = 10.75

15.75 - 0.20a = 10.75

a = 25

Number of nickels coin = 25 coins

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