Question

Elizabeth has 16 shirts. If she buys 5 shirts every week, at least how many weeks does she need to collect 70 shirts?
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10
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11
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13
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9

Answer 1

To determine how many weeks Elizabeth needs to collect at least 70 shirts, we can start by calculating how many additional shirts she needs.

Elizabeth currently has 16 shirts, and she wants a total of 70 shirts:

\[
\text{Additional shirts needed} = 70 - 16 = 54
\]

If Elizabeth buys 5 shirts every week, we can calculate the number of weeks needed:

\[
\text{Number of weeks} = \frac{\text{Additional shirts needed}}{\text{Shirts bought per week}} = \frac{54}{5}
\]

Calculating this gives:

\[
\frac{54}{5} = 10.8
\]

Since Elizabeth cannot buy shirts for a fraction of a week, we round up to the next whole number:

\[
\text{Weeks needed} = \lceil 10.8 \rceil = 11
\]

Therefore, Elizabeth needs at least **11 weeks** to collect at least 70 shirts.

The answer is **11**.