Question

Question 5 of 12, Step 1 of 1

Correct
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Joan has $5.40 worth of change in nickels and dimes. If she has 4 times as many nickels as dimes, how many of each type of coin does she have?

Answer 1

18 dimes and 72 nickels

Explanation:

If Joan has 4 nickels per dime, that means that she will have change in groups of 30 cents (4*5=20+10=30). If we divide 5.40 by 0.30, we get 18. We now know there are 18 groups of 30 cents. One dime per group of 30 cents means that there are 18 dimes, and 4 nickels per group of 30 cents means that she has 72 (4*18) nickels.

Now to check our math:

`72n+18d=5.40\\72(0.05)+18(0.10)=5.40\\3.60+1.80=5.40\\5.40=5.40`

Our math adds up, which means that we got the right answer :)