Question

This table shows a proportional relationship between the number of cups of sugar and flour used for a recipe.


Enter the number of cups of sugar used for 1 cup of flour. Give your answer as a fraction.
PLEASE HELP

Answer 1

To find the answer for one cup of flour, divide the cups of sugar by the cups of flour. Here’s how it works.

Since we want the proportion for 1 cup of flour, we divide it by itself to get 1.

Thus, we need to have equal sides, so we divide the number of cups of sugar by the amount the cups of flour divided by.

So: 2.5/7.5=1/3

1 cup of flour is proportional to 1/3 cups of sugar.

Hope this helps!

Answer 2

By creating a proportion equation and applying the knowledge of fractions, the number of cups of sugar used for 1 cup of flour will be: $\frac{1}{3}$ cup of sugar.

• To find the number of cups of sugar that will be used for a cup of flour, we would apply out knowledge of proportion and fractions.

• Using proportion equation, we would create an equation to enable us look for the quantity of sugar that would be used for 1 cup of flour.

• Using the table given,

$2\frac{1}{2}$ cups of sugar was used for $7\frac{1}{2}$ cups of flour

• Therefore:

Let x represent the number of cup of sugars that will be used for 1 cup of flour.

• Creating a proportion equation, we will have:

$2\frac{1}{2} = 7\frac{1}{2} \\\\x = 1$

• Cross multiply

$2\frac{1}{2} \times 1 = 7\frac{1}{2} \times x$

• Change the fractions to improper fractions and solve for x

$\frac{5}{2} \times 1 = \frac{15}{2} \times x\\\\\frac{5}{2} = \frac{15x}{2}$

• Multiply both sides by 2

$\frac{5}{2} \times 2 = \frac{15x}{2} \times 2\\\\5 = 15x$

• Divide both sides by 15

$\frac{5}{15} = \frac{15x}{15} \\\\\frac{1}{3} = x$

$x = \frac{1}{3}$

Therefore, by creating a proportion equation and applying the knowledge of fractions, the number of cups of sugar used for 1 cup of flour will be: $\frac{1}{3}$ cup of sugar.

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