Word Question

Question

Kendra has $ 6.75 in dimes and nickels. If she has 4 times as many dimes as nickels, how many of each coin does she have?

Answer 1

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)