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Difficulty: EasyRatios, Rates, and Proportions

A baker makes a fruit tart using strawberries and blueberries. The ratio of the number of strawberries to the number of blueberries used in the tart is 3:53:5. If the baker uses a total of 4040 berries to make the tart, how many strawberries are used?

  1. A
    8
  2. 15Answer
  3. C
    20
  4. D
    24
  5. E
    25

Answer

15
To find the number of strawberries used, we establish the part-to-whole fraction for strawberries. Given the ratio of strawberries to blueberries is 3:53:5, strawberries account for 33 out of every 88 berries (since 3+5=83 + 5 = 8). We then scale this fraction to the total of 4040 berries: 38×40=15\frac{3}{8} \times 40 = 15. This shows that exactly 15 strawberries were used.

Step-by-Step Solution

1
Determine the part-to-whole ratio for the strawberries.
The ratio of strawberries to blueberries is 3:53:5, which means there are 33 parts strawberries for every 3+5=83 + 5 = 8 parts of total berries. The fraction of strawberries is 38\frac{3}{8}.
To find the quantity of a specific part from a total, we must use the part-to-whole ratio.
2
Multiply the part-to-whole fraction by the total number of berries.
38×40=3×5=15\frac{3}{8} \times 40 = 3 \times 5 = 15.
Multiplying the strawberry fraction by the total quantity yields the absolute number of strawberries used.

Key Concept

Part-to-whole ratios and scaling proportions
Estimated Time:45s
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Topics

Ratios, Rates, and Proportions

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