Michael P. answered • 02/18/18

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Quick Answers to Math, Chemistry, and Physics Problems

Let N = number of nickels D = number of dimes

1) N + D = 60 (or N = 60 - D)

2) $0.05*N + $0.10*D = $5 ( or 5 cents per nickel x # nickels + 10 cents per dime x # dimes = 500 cents)

You have 2 equations and 2 unknowns

Substitute equation 1) into equation 2) and solve for D:

$0.05*(60 - D) + $0.10*D = $5 (combine like terms)

$3 - $0.05*D + $0.10*D = $5

$0.05*D = $2

D = $2/$0.05 = 40 dimes

N = 60 -D = 60 - 40 = 20 nickels