Question

A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches and some days they bake smaller batches, but they always use the same ratio of honey to flour. Complete the table as you answer the questions that follow.
How many cups of flour do they use with 20 tablespoons of honey?


How many cups of flour do they use with 13 tablespoons of honey?


How many tablespoons of honey do they use with 20 cups of flour?

Answer 1

Answer: a) 25 cups        b) $16\frac{1}{4}$ cups       c) 16 Tbsp

Step-by-step explanation:

Set up the proportion:      $\dfrac{8\ Tbsp\ \text{honey}}{10\ cups\ \text{flour}}\quad \rightarrow \quad \dfrac{4\ Tbsp\ \text{honey}}{5\ cups\ \text{flour}}$

$\dfrac{\text{honey}}{\text{flour}}:\quad \dfrac{4\ Tbsp}{5\ cups}=\dfrac{20\ Tbsp}{x}$

Cross Multiply:        4x = 20(5)

Simplify:                   4x = 100

Divide by 4:               x = 25

$\dfrac{\text{honey}}{\text{flour}}:\quad \dfrac{4\ Tbsp}{5\ cups}=\dfrac{13\ Tbsp}{x}$

Cross Multiply:        4x = 13(5)

Simplify:                   4x = 65

Divide by 4:               x = 16.25      →    $16 \frac{1}{4}$

$\dfrac{\text{honey}}{\text{flour}}:\quad \dfrac{4\ Tbsp}{5\ cups}=\dfrac{x}{20\ cups}$

Cross Multiply:        4(20) = 5x

Simplify:                    80 = 5x

Divide by 5:               16 = x