Question

Claire has $160. She buys a coat for $42 and wants to spend the remainder of her money on earrings. The price of one pair of earrings is $26. What is the maximum number of pairs of earrings she can buy?
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4
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5
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3
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7

Answer 1

To find out how many pairs of earrings Claire can buy, we first need to calculate how much money she has left after buying the coat.

1. Start with the total amount Claire has:
\[
160
\]

2. Subtract the cost of the coat:
\[
160 - 42 = 118
\]
So, Claire has $118 left.

3. Now, we need to find out how many pairs of earrings she can buy with $118. Each pair of earrings costs $26, so we divide the remaining amount by the price of one pair of earrings:
\[
\frac{118}{26} \approx 4.538
\]

Since Claire cannot buy a fraction of a pair of earrings, we take the whole number part of the division, which is 4.

Let's verify that with 4 pairs:
- The cost for 4 pairs is:
\[
4 \times 26 = 104
\]
- The remaining amount would be:
\[
118 - 104 = 14
\]

Now, for 5 pairs:
- The cost for 5 pairs is:
\[
5 \times 26 = 130
\]
- Claire does not have enough money for 5 pairs, as $130 > 118.

Thus, the maximum number of pairs of earrings Claire can buy is:
\[
\boxed{4}
\]