Andrew M. answered • 09/19/17

Tutor

New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

Hi Noah:

From the information we choose variables and set up 2 equations.

We can solve the system using substitution.

Let d = # dimes

Let n = # nickels

0.1d + 0.05n = 6.75 equation 1

d = 4n equation 2

substitute 4n in place of d in 1st equation.

0.1(4n) + 0.05n = 6.75

Let's clear the decimals... multiply through by 100

10(4n) + 5n = 675

45n = 675

n = 15 nickels .... ($0.75)

d = 4n = 60 dimes .... ($6.00)