Question
A baker has three canisters of flour in her supply room. Canister A can hold 30 pounds, canister B can hold 45 pounds, and canister C can hold 60 pounds.
Canister A contains 71% of its capacity.
Canister B is 10/16 full.
Canister C has 8.8 pounds more than half its capacity.
The baker estimates that she does not have the 70 pounds of flour needed for this weekend's planned baking.
Use estimation strategies to determine which statements are true.
The baker does not have enough flour for the weekend's planned baking.
The total amount of flour in the three canisters is approximately 90 pounds.
The total amount of flour in the three canisters is approximately 70 pounds.
The baker has enough flour for the weekend's planned baking.
The baker's estimate is not reasonable.
The total amount of flour in the three canisters is approximately 55 pounds.
The baker's estimate is reasonable.
Canister A contains 71% of its capacity.
Canister B is 10/16 full.
Canister C has 8.8 pounds more than half its capacity.
The baker estimates that she does not have the 70 pounds of flour needed for this weekend's planned baking.
Use estimation strategies to determine which statements are true.
The baker does not have enough flour for the weekend's planned baking.
The total amount of flour in the three canisters is approximately 90 pounds.
The total amount of flour in the three canisters is approximately 70 pounds.
The baker has enough flour for the weekend's planned baking.
The baker's estimate is not reasonable.
The total amount of flour in the three canisters is approximately 55 pounds.
The baker's estimate is reasonable.
Answers
GPT-4o mini
Let's break down the flour amounts in each canister to see if the statements are true based on that information.
1. **Canister A (30 pounds capacity)**
- Currently contains 71% of its capacity:
\[ 0.71 \times 30 \text{ pounds} \approx 21 \text{ pounds} \]
2. **Canister B (45 pounds capacity)**
- Currently 10/16 full, which simplifies to 5/8.
\[ \frac{5}{8} \times 45 \text{ pounds} = 28.125 \text{ pounds} \approx 28 \text{ pounds} \] (for estimation purposes)
3. **Canister C (60 pounds capacity)**
- Has 8.8 pounds more than half its capacity:
\[ \text{Half of 60 pounds} = 30 \text{ pounds} \]
\[ 30 \text{ pounds} + 8.8 \text{ pounds} \approx 39 \text{ pounds} \]
Now let's sum the amounts in the three canisters:
- Total amount of flour:
\[ 21 \text{ pounds} + 28 \text{ pounds} + 39 \text{ pounds} \approx 88 \text{ pounds} \]
Now we can evaluate the statements:
1. **The baker does not have enough flour for the weekend's planned baking.**
**True** (since 88 pounds is more than 70 pounds).
2. **The total amount of flour in the three canisters is approximately 90 pounds.**
**True** (88 pounds is close to 90 pounds).
3. **The total amount of flour in the three canisters is approximately 70 pounds.**
**False** (88 pounds is significantly higher than 70 pounds).
4. **The baker has enough flour for the weekend's planned baking.**
**True** (the baker has 88 pounds, which is more than 70 pounds).
5. **The baker's estimate is not reasonable.**
**False** (the baker's estimate that she doesn't have enough flour is incorrect).
6. **The total amount of flour in the three canisters is approximately 55 pounds.**
**False** (88 pounds is much higher than 55 pounds).
7. **The baker's estimate is reasonable.**
**False** (since the estimate of not having enough flour is incorrect).
In summary, the statements that are true are:
- The baker does not have enough flour for the weekend's planned baking.
- The total amount of flour in the three canisters is approximately 90 pounds.
- The baker has enough flour for the weekend's planned baking.
1. **Canister A (30 pounds capacity)**
- Currently contains 71% of its capacity:
\[ 0.71 \times 30 \text{ pounds} \approx 21 \text{ pounds} \]
2. **Canister B (45 pounds capacity)**
- Currently 10/16 full, which simplifies to 5/8.
\[ \frac{5}{8} \times 45 \text{ pounds} = 28.125 \text{ pounds} \approx 28 \text{ pounds} \] (for estimation purposes)
3. **Canister C (60 pounds capacity)**
- Has 8.8 pounds more than half its capacity:
\[ \text{Half of 60 pounds} = 30 \text{ pounds} \]
\[ 30 \text{ pounds} + 8.8 \text{ pounds} \approx 39 \text{ pounds} \]
Now let's sum the amounts in the three canisters:
- Total amount of flour:
\[ 21 \text{ pounds} + 28 \text{ pounds} + 39 \text{ pounds} \approx 88 \text{ pounds} \]
Now we can evaluate the statements:
1. **The baker does not have enough flour for the weekend's planned baking.**
**True** (since 88 pounds is more than 70 pounds).
2. **The total amount of flour in the three canisters is approximately 90 pounds.**
**True** (88 pounds is close to 90 pounds).
3. **The total amount of flour in the three canisters is approximately 70 pounds.**
**False** (88 pounds is significantly higher than 70 pounds).
4. **The baker has enough flour for the weekend's planned baking.**
**True** (the baker has 88 pounds, which is more than 70 pounds).
5. **The baker's estimate is not reasonable.**
**False** (the baker's estimate that she doesn't have enough flour is incorrect).
6. **The total amount of flour in the three canisters is approximately 55 pounds.**
**False** (88 pounds is much higher than 55 pounds).
7. **The baker's estimate is reasonable.**
**False** (since the estimate of not having enough flour is incorrect).
In summary, the statements that are true are:
- The baker does not have enough flour for the weekend's planned baking.
- The total amount of flour in the three canisters is approximately 90 pounds.
- The baker has enough flour for the weekend's planned baking.