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Samuel has a collection of nickels and quarters. If he has eight less quarters than nickels, and he has sixteen coins in total, find how many money he has!

 Apr 24, 2017
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He has 8 less quarters than nickles.

q = n - 8

 

He has 16 coins in total.

q + n = 16

 

Replace q with n - 8 in the second equation.

(n - 8) + n = 16

n - 8 + n = 16

2n = 16 + 8

n = 24/2 = 12

 

Replace n with 12 in the first equation.

q = 12 - 8 = 4

 

He has 4 quarters and 12 nickles.

That is 4($0.25) + 12($0.05) = $1.60  :)

 Apr 24, 2017

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