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)
To make 13 quarts of jam it will take 5.2 pounds of berries.
The recipe indicates that two pounds of berries yield five quarts of jam. By establishing the ratio of berries to jam, we can calculate the amount required for 13 quarts by scaling up the quantity of berries accordingly.
This choice suggests that only 2.5 pounds of berries are needed for 13 quarts. However, since 2 pounds are needed for just 5 quarts, this amount significantly underestimates the required berries, as it would only produce about 6.25 quarts of jam.
Choosing 4.8 pounds implies that this quantity would suffice for 13 quarts of jam. However, when calculated using the ratio, 4.8 pounds would yield approximately 12 quarts, which is still insufficient for the desired 13 quarts.
This is the correct choice as it accurately reflects the amount of berries needed. The ratio of berries to jam is 2 pounds for 5 quarts, leading to a calculation of 5.2 pounds for 13 quarts when proportionally scaling up. This amount ensures enough berries to produce the required jam.
This option significantly overestimates the requirement, suggesting that 8.6 pounds of berries are needed for 13 quarts. This would yield far more jam than required, as it would produce approximately 21.5 quarts, far exceeding the desired quantity.
To accurately scale a recipe, maintaining the correct ratio is essential. In this case, 5.2 pounds of berries are necessary to produce 13 quarts of strawberry jam, confirming the importance of proportional calculations in recipe adjustments. The other choices either underestimate or overestimate the berry requirement, highlighting the need for careful mathematical reasoning in cooking.
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