Question
Amaya has an inflatable pool that she filled 34
full for her cousin on a hot summer day. After playing all day, the pool was 310
full. How much water was lost? Simplify your answer. (1 point)
Responses
920
9 over 20
1840
18 over 40
37
3 sevenths
16
full for her cousin on a hot summer day. After playing all day, the pool was 310
full. How much water was lost? Simplify your answer. (1 point)
Responses
920
9 over 20
1840
18 over 40
37
3 sevenths
16
Answers
GPT-4o mini
To find out how much water was lost from the pool, we need to subtract the amount of water left from the amount of water initially in the pool.
Initially, the pool was filled to \( \frac{34}{40} \) (or 34 out of 40 parts).
After playing, the pool was filled to \( \frac{31}{40} \) (or 31 out of 40 parts).
Now, we can calculate the amount of water lost:
\[
\text{Water lost} = \text{Initial amount} - \text{Final amount}
\]
\[
= \frac{34}{40} - \frac{31}{40}
\]
\[
= \frac{34 - 31}{40} = \frac{3}{40}
\]
Thus, the amount of water lost is \( \frac{3}{40} \).
From the provided options, none match exactly with \( \frac{3}{40} \), but if we simplify fractions or check closely, we can determine if it's related.
1. **920 (not a fraction)**
2. **9 over 20 (which is \( \frac{9}{20} \) or 18/40 upon multiplying)**
3. **1840 (not a fraction)**
4. **18 over 40 (which simplifies to \( \frac{9}{20} \))**
5. **37 (not a fraction)**
6. **3 sevenths (which is \( \frac{3}{7} \))**
7. **16 (not a fraction)**
Presently, \( \frac{3}{40} \) doesn't appear directly in any option. Based on the logic and calculations, the answer based on examining losses would need to clarify what's meant to determine. Still, the simplified form or suitable fractions offer a conclusion around approximating context.
Thus, the exact answer is \( \frac{3}{40} \), and the calculation supports \( 3\text{ parts over } 40 \), leaving room for discussion over discrepancies in presented numbers.
Initially, the pool was filled to \( \frac{34}{40} \) (or 34 out of 40 parts).
After playing, the pool was filled to \( \frac{31}{40} \) (or 31 out of 40 parts).
Now, we can calculate the amount of water lost:
\[
\text{Water lost} = \text{Initial amount} - \text{Final amount}
\]
\[
= \frac{34}{40} - \frac{31}{40}
\]
\[
= \frac{34 - 31}{40} = \frac{3}{40}
\]
Thus, the amount of water lost is \( \frac{3}{40} \).
From the provided options, none match exactly with \( \frac{3}{40} \), but if we simplify fractions or check closely, we can determine if it's related.
1. **920 (not a fraction)**
2. **9 over 20 (which is \( \frac{9}{20} \) or 18/40 upon multiplying)**
3. **1840 (not a fraction)**
4. **18 over 40 (which simplifies to \( \frac{9}{20} \))**
5. **37 (not a fraction)**
6. **3 sevenths (which is \( \frac{3}{7} \))**
7. **16 (not a fraction)**
Presently, \( \frac{3}{40} \) doesn't appear directly in any option. Based on the logic and calculations, the answer based on examining losses would need to clarify what's meant to determine. Still, the simplified form or suitable fractions offer a conclusion around approximating context.
Thus, the exact answer is \( \frac{3}{40} \), and the calculation supports \( 3\text{ parts over } 40 \), leaving room for discussion over discrepancies in presented numbers.