To determine which statement is true, we need to find the total amount of grass cut by Amnar and Aayush and compare that to the whole yard.
- Amnar cut 16 units of grass.
- Aayush cut 13 units of grass.
Adding these amounts together, we find:
16 (Amnar) + 13 (Aayush) = 29 units of grass cut.
Now, we need to see how this relates to the statements provided. However, we don't know how much the whole yard is, so we cannot definitively decide which statement is true without knowing the total size of the yard.
If we assume the yard represents a certain area, let's denote the total area of the yard as \( x \).
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If \( x \) is 40 units, then together they cut 29 units, which means they cut:
- \( \frac{29}{40} = 0.725 \) (which is more than half but less than three-fourths).
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If \( x \) is 36 units, then together they cut 29 units, which means they cut:
- \( \frac{29}{36} \approx 0.805 \) (which is more than half but less than three-fourths).
Based on possible scenarios above:
- "The boys cut almost the whole yard." could be true if the yard is significantly less than 29 units.
- "Together the boys cut three-fourths of the yard." is likely false because they would need to cut at least 30 units for that.
- "The boys cut exactly half of the yard." is false unless the yard was 58 units.
- "Together the boys did not cut half of the yard." can also be considered inconclusive without knowing the total yard size.
Overall, the most consistently applicable response, if we were to assume the yard is at least 32 units or more, is "Together the boys did not cut half of the yard." If we assume the yard is less than 29 units, then "The boys cut almost the whole yard" could also hold true.
Therefore, the final conclusion relies on the total size of the yard, but it seems safest to conclude that "Together the boys did not cut half of the yard" is the most flexible and broadly applicable statement.
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