NAILTECH72
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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?​

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sqdancefan

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Answer:

  243

Step-by-step 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

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