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Question 5 • Quiz

Alex has 84 quarters and nickels worth a total of $⁢17.80. Which equation can be used to find q , the number of quarters Alex has?

Answer

A

0 point 2 5 q plus 0 point 0 5 times open paren q minus 84 close paren is equal to 17 point 8 0

B

0 point 0 5 times open paren 84 minus q close paren plus 0 point 2 5 q is equal to 17 point 8 0

C

0 point 2 5 times open paren q minus 84 close paren plus 0 point 0 5 q is equal to 17 point 8 0

D

0 point 0 5 q plus 0 point 2 5 times open paren 84 minus q close paren is equal to 17 point 8 0

Explanation

Let q be the number of quarters. Then 84 − q is the number of nickels. Each quarter is worth $0.25 and each nickel is worth $0.05, so the total value is 0.25q + 0.05(84 − q) = 17.80. This is choice B, written with the two value terms in the opposite order.

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