Question

A jar contains 54 coins consisting of quarters and dimes. The total value of the coins is $16.85. Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the

jar?

Answer 1

Let q be the number of quarters in the jar and d be the number of dimes in the jar.

The total number of coins in the jar is given as 54, so we can write:

q + d = 54

The total value of the coins is $16.85. We can express this as the sum of the values of the quarters and the dimes in the jar:

0.25q + 0.10d = 16.85

Therefore, the system of equations that can be used to determine the number of quarters and dimes in the jar is:

q + d = 54

0.25q + 0.10d = 16.85

Answer 2

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