Question

Katie gave Melanie $2.45 in dimes and nickels. If 10 coins were dimes how many coins were nickels? Which equation models this problem? A. 2.45 • 10 - 5n B. 0.05n + 2.45d = 10 C. 10 • 0.10 + 0.05n = 2.45 D. 0.05 • 10 + 0.1 • d = 2.45

Answer 1

there would be 29 nickels, and C would model the problem

Answer 2

C. 10 • 0.10 + 0.05n = 2.45

Explanation:

Let n be the number nickels and d be the number of dimes,

Since, 1 nickel = $ 0.05,

1 dime = $ 0.10,

Thus, the total value of n nickels and d dimes = 0.05n + 0.10d

According to the question,

0.05n + 0.10d = 2.45 ----(1)

d = 10 ----(2)

From the above equation,

`0.05n + 0.10(10) = 2.45`

Hence, OPTION C is correct.