Scaling Math Example 2

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Example 2

medium
A recipe for 44 servings uses 2.52.5 cups of oats, 1.51.5 cups of milk, and 14\frac{1}{4} cup of honey. Scale the recipe up to 1010 servings.

Solution

  1. 1
    Scale factor: 104=2.5\dfrac{10}{4} = 2.5.
  2. 2
    Oats: 2.5×2.5=6.252.5 \times 2.5 = 6.25 cups.
  3. 3
    Milk: 1.5×2.5=3.751.5 \times 2.5 = 3.75 cups.
  4. 4
    Honey: 14×2.5=0.625=58\dfrac{1}{4} \times 2.5 = 0.625 = \dfrac{5}{8} cup.

Answer

Oats: 6.256.25 cups; Milk: 3.753.75 cups; Honey: 58\dfrac{5}{8} cup.
Scaling multiplies every ingredient by the same factor, preserving ratios. This keeps the proportions (and therefore the taste) identical while adjusting the total quantity. The scale factor is the ratio of desired servings to original servings.

About Scaling

Changing the size of a quantity by multiplying by a factor, making it proportionally larger (factor >1> 1) or smaller (factor <1< 1).

Learn more about Scaling →

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Example 4 medium

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