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A bakery uses flour and sugar in a ratio of 5:25:2 by weight to make a cake batter. If a baker needs to prepare a batch using a total of 2828 pounds of flour and sugar combined, how many pounds of flour are needed?

  1. A
    88 pounds
  2. B
    1414 pounds
  3. 2020 poundsCevap
  4. D
    3535 pounds
  5. E
    7070 pounds

Cevap

2020 pounds
To find the amount of flour, determine the fraction of the total mixture that consists of flour. The ratio of flour to sugar is 5:25:2, meaning flour makes up 55 out of 5+2=75 + 2 = 7 total parts. Multiplying this fraction by the total weight gives 57×28=20\frac{5}{7} \times 28 = 20 pounds.

Adım Adım Çözüm

1
Determine the total number of ratio parts
Total ratio parts = 5+2=75 + 2 = 7
The ratio 5:25:2 means that for every 55 parts of flour, there are 22 parts of sugar, giving a total of 77 parts.
2
Calculate the weight of one ratio part
Weight per part = 28 pounds÷7=4 pounds28 \text{ pounds} \div 7 = 4 \text{ pounds}
Dividing the total weight by the total number of parts yields the weight of a single part.
3
Multiply the weight per part by the number of flour parts
Flour weight = 5×4 pounds=20 pounds5 \times 4 \text{ pounds} = 20 \text{ pounds}
Since flour represents 55 of the 77 parts, multiplying 55 by 44 gives the total weight of flour required.

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Part-to-Whole Ratios
Tahmini Süre:45s
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Ratios, Rates, and Proportions

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