Use the tables to answer the question.

Berry Cobbler
Number of Batches Pints of Berries
5 20
12 48
15 60
20 80
Berry Pie
Number of Batches Pints of Berries
4 7.0
10 17.5
20 35.0
50 87.5
Based on the tables showing how many pints of berries are needed for two dessert recipes, which recipe requires the least number of berries per batch of dessert? How many pints less of berries would be used for a double batch of that recipe compared to a double batch of the other?

(1 point)
Responses

Berry pie uses less berries. You would use 5.5 pints fewer than you would for a berry cobbler.
Berry pie uses less berries. You would use 5.5 pints fewer than you would for a berry cobbler.

Berry pie uses less berries. For a double batch, you would need 4.5 fewer pints of berries than needed for a double batch of berry cobbler.
Berry pie uses less berries. For a double batch, you would need 4.5 fewer pints of berries than needed for a double batch of berry cobbler.

Berry cobbler uses more berries. For a double batch, you would use 4.5 more pints of berries than you would for a double batch of berry pie.
Berry cobbler uses more berries. For a double batch, you would use 4.5 more pints of berries than you would for a double batch of berry pie.

Berry pie uses less berries. You would use 2.25 pints fewer than you would for a berry cobbler.
Berry pie uses less berries. You would use 2.25 pints fewer than you would for a berry cobbler.
Remaining Attempts : 3
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1 answer

To determine which recipe requires the least number of berries per batch, we need to calculate the amount of berries used per batch for both the Berry Cobbler and the Berry Pie.

Berry Cobbler

  • For 5 batches: 20 pints of berries
    • Berries per batch: \( \frac{20 \text{ pints}}{5 \text{ batches}} = 4 \text{ pints/batch} \)
  • For 12 batches: 48 pints of berries
    • Berries per batch: \( \frac{48 \text{ pints}}{12 \text{ batches}} = 4 \text{ pints/batch} \)
  • For 15 batches: 60 pints of berries
    • Berries per batch: \( \frac{60 \text{ pints}}{15 \text{ batches}} = 4 \text{ pints/batch} \)
  • For 20 batches: 80 pints of berries
    • Berries per batch: \( \frac{80 \text{ pints}}{20 \text{ batches}} = 4 \text{ pints/batch} \)

Average for Berry Cobbler: 4 pints per batch.

Berry Pie

  • For 4 batches: 7.0 pints of berries
    • Berries per batch: \( \frac{7.0 \text{ pints}}{4 \text{ batches}} = 1.75 \text{ pints/batch} \)
  • For 10 batches: 17.5 pints of berries
    • Berries per batch: \( \frac{17.5 \text{ pints}}{10 \text{ batches}} = 1.75 \text{ pints/batch} \)
  • For 20 batches: 35.0 pints of berries
    • Berries per batch: \( \frac{35.0 \text{ pints}}{20 \text{ batches}} = 1.75 \text{ pints/batch} \)
  • For 50 batches: 87.5 pints of berries
    • Berries per batch: \( \frac{87.5 \text{ pints}}{50 \text{ batches}} = 1.75 \text{ pints/batch} \)

Average for Berry Pie: 1.75 pints per batch.

Comparison

  • Berry Cobbler: 4 pints per batch
  • Berry Pie: 1.75 pints per batch

Conclusion

Berry pie uses less berries per batch.

Double Batch Calculation

  • Double batch of Berry Cobbler: \( 2 \times 4 = 8 \text{ pints} \)
  • Double batch of Berry Pie: \( 2 \times 1.75 = 3.5 \text{ pints} \)

Difference in Pints

\( 8 - 3.5 = 4.5 \) pints

Therefore, the final answer is:

Berry pie uses less berries. For a double batch, you would need 4.5 fewer pints of berries than needed for a double batch of berry cobbler.