William has eight more nickels than dimes in his pocket for a total of $2.50. Which equation could be used to determine the number of x dimes in his pocket? A) 0.10 (x + 8) + 0.05 (x) = 2.50 B) 0.05 (x + 8) + 0.10 (x) = 2.50 C) 0.10 (8x) + 0.05 (x) = 2.50 D) 0.05 (8x) + 0.10 (x) = 2.50

Question

Mathematics

Scott Robinson

21 January, 01:36

William has eight more nickels than dimes in his pocket for a total of $2.50. Which equation could be used to determine the number of x dimes in his pocket? A) 0.10 (x + 8) + 0.05 (x) = 2.50 B) 0.05 (x + 8) + 0.10 (x) = 2.50 C) 0.10 (8x) + 0.05 (x) = 2.50 D) 0.05 (8x) + 0.10 (x) = 2.50

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Answers (1)

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Reagan Bradshaw · Answer 1

B

Step-by-step explanation:

0.05 (x + 8) + 0.10 (x) = 2.50

dimes = x

nickels = x + 8

Therefore,

0.05 (x + 8) + 0.10 (x) = 2.50

0.05x + 0.40 + 0.10x = 2.50

0.15x = 2.10

x = 14

William has 14 dimes and 22 nickels in his pocket.