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.

Question

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 total amount of flour in the three canisters is approximately 55 pounds.
The total amount of flour in the three canisters is approximately 70 pounds.
The baker does not have enough flour for the weekend's planned baking.
The baker's estimate is reasonable.
The baker has enough flour for the weekend's planned baking.
The total amount of flour in the three canisters is approximately 90 pounds.
The baker's estimate is not reasonable.

Answer 1

Let's analyze the information given about the canisters and their flour contents step by step to estimate the total amount of flour.

1. Canister A:

   • Capacity: 30 pounds
   • Contains 71% of its capacity: \[ 0.71 \times 30 \approx 21 \text{ pounds} \]

2. Canister B:

   • Capacity: 45 pounds
   • Is 10/16 full: \[ \frac{10}{16} \text{ of } 45 = 0.625 \times 45 \approx 28 \text{ pounds} \]

3. Canister C:

   • Capacity: 60 pounds
   • Has 8.8 pounds more than half its capacity: \[ \text{Half of 60} = 30 \text{ pounds} \] \[ 30 + 8.8 = 38.8 \text{ pounds} \approx 39 \text{ pounds} \text{ (for estimation)} \]

Now, summing up the approximated amounts:

• Canister A: 21 pounds
• Canister B: 28 pounds
• Canister C: 39 pounds

Total amount of flour: \[ 21 + 28 + 39 \approx 88 \text{ pounds} \]

Now let's analyze each statement:

1. The total amount of flour in the three canisters is approximately 55 pounds. - False
2. The total amount of flour in the three canisters is approximately 70 pounds. - False
3. The baker does not have enough flour for the weekend's planned baking. - False (since 88 pounds is more than 70 pounds)
4. The baker's estimate is reasonable. - True (it is reasonable because it is based on proper calculations)
5. The baker has enough flour for the weekend's planned baking. - True
6. The total amount of flour in the three canisters is approximately 90 pounds. - True (88 pounds rounds to 90)
7. The baker's estimate is not reasonable. - False

So, the true statements are:

• The baker's estimate is reasonable.
• The baker has enough flour for the weekend's planned baking.
• The total amount of flour in the three canisters is approximately 90 pounds.