Question

Peggy had four times as many quarters as nickels. She had $2.10 in all. How many nickels and how many quarters did she have?

If the variable n represents the number of nickels, then which of the following expressions represents the number of quarters?

Answer 1

• 2 nickels
• 8 quarters

Explanation:

If n represents the number of nickels, and the number of quarters is 4 times the number of nickels, then the number of quarters is represented by 4n.

The total value of the coins in cents is ...

5(n) +25(4n) = 210

105n = 210 . . . . . . . . collect terms

n = 210/105 = 2 . . . . number of nickels

4n = 4(2) = 8 . . . . . . number of quarters

Peggy has 2 nickels and 8 quarters.