4. A recipe for strawberry jam requires two pounds of berries to make five quarts of jam. To make 13 quarts of jam it will take ___ pounds of berries. (round to nearest tenth)
Answer: C
It will take 5.2 pounds of berries to make 13 quarts of jam.
To make 13 quarts of jam, 5.2 pounds of berries are required, based on the proportion of berries to quarts from the original recipe.
A) 2.5
This option is incorrect as it suggests that only 2.5 pounds of berries would be needed, which is insufficient for the amount of jam required. The initial ratio indicates that more berries are necessary to produce a larger quantity of jam.
B) 4.8
While 4.8 pounds may seem like a reasonable estimate, it does not align with the proportional requirement established in the recipe. The calculations show that more berries are necessary to achieve 13 quarts, making this option incorrect.
C) 5.2
This option is correct, as it accurately reflects the proportional calculation needed to produce 13 quarts of jam. The original recipe uses 2 pounds of berries for 5 quarts, and scaling this up correctly leads to the need for 5.2 pounds.
D) 8.6
This option is incorrect because it overestimates the amount of berries required. The original recipe clearly shows that the increase in jam quantity does not necessitate such a large amount of berries, based on the ratio provided.
Conclusion
The correct answer of 5.2 pounds of berries is derived from a careful application of the proportional relationship established in the original recipe. Other options either underestimate or overestimate the requirement, demonstrating a misunderstanding of how to scale the quantities appropriately. This highlights the importance of accurate ratio calculations in recipe adjustments.