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?

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

[tex]\dfrac{\text{honey}}{\text{flour}}:\quad \dfrac{4\ Tbsp}{5\ cups}=\dfrac{20\ Tbsp}{x}[/tex]

Cross Multiply: 4x = 20(5)

Simplify: 4x = 100

Divide by 4: x = 25

[tex]\dfrac{\text{honey}}{\text{flour}}:\quad \dfrac{4\ Tbsp}{5\ cups}=\dfrac{13\ Tbsp}{x}[/tex]

Cross Multiply: 4x = 13(5)

Simplify: 4x = 65

Divide by 4: x = 16.25 → [tex]16 \frac{1}{4}[/tex]

[tex]\dfrac{\text{honey}}{\text{flour}}:\quad \dfrac{4\ Tbsp}{5\ cups}=\dfrac{x}{20\ cups}[/tex]

Cross Multiply: 4(20) = 5x

Simplify: 80 = 5x

Divide by 5: 16 = x

adioabiola adioabiola · Answer 2 · 2021-10-21T11:39:46+02:00

Provided that the bakery uses the same ratio of honey to flour; the answer to the questions are;

25 cups of flour
16.25 cups of flour
16 tablespoons of honey

According to the question; the bakery uses the same ratio of honey to flour.

The premises of the ratio is;

8 tablespoons of honey for every 10 cups of flour.

Therefore,

tablespoons of honey/cups of flour = 8/10 = 4/5

Question 1;

4/5 = 20 tablespoons of honey/x cups of flour

By Cross-product;

x = (20 × 5)/4

x = 25 cups of flour.

Question 2:

4/5 = 13 tablespoons of honey/x cups of flour

By cross product;

x = (13 × 5)/4

x = 16.25 cups of flour

Question 3:

4/5 = x tablespoons of honey/20 cups of flour

By cross product;

x = (4 × 20)/5

x = 16 tablespoons of honey.