Question

Teresa has $3.60 in quarters and nickels. If she has 36 coins total, the number of quarters multiplied by the number of nickels is equal to what number?​

Answer 1

9514 1404 393

Answer:

243

Explanation:

Let q represent the number of quarters. Then (36-q) is the number of nickels. The total value of the coins is ...

0.25q + 0.05(36 -q) = 3.60

0.20q = 1.80 . . . . . . . . . . . . . simplify, subtract 1.80

q = 9 . . . . . . . . . . . . . . . divide by 0.20

36 -q = 36 -9 = 27 . . . . the number of nickels

The product of the number of quarters and the number of nickels is ...

(9)(27) = 243 . . . the product of interest