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?

Question

asked Feb 1, 2022 38.0k views

1 Answer

Ylangylang · Answer 1 · 2022-02-06T00:14:22+0000

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