Question

8

Jennifer has $ 3.51 in change in her
piggy bank. The change consists of 51
coins inducing pennies, tickets and
quarters. If there are 3 umes as many
níckets as pennies, how many quarters
does she have?
Enter your answer on the
answer document,

Answer 1

11 pennies

33 nickels

7 quarters

Explanation:

Let x be the number of pennies, then the number of nickels is 3x.

There are 51 coins in total, so the number of quarters is 51 - x - 3x = 51 - 4x.

Amounts:

• in pennis - x cents;
• in nickels - 5(3x) = 15x cents;
• in quarters - 25(51 - 4x) cents.

Tota amount = $3.51 = 351 cents.

Hence,

`x+15x+25(51-4x)=351\\ \\x+15x+1,275-100x=351\\ \\x+15x-100x=351-1,275\\ \\-84x=-924\\ \\84x=924\\ \\ x=11`

11 pennies

33 nickels

7 quarters