Question

setting up proportions
in each exercise, set up the proportion. use \x\ as the variable and include labels. do not solve.

1. if 3 cakes serve 35 people, exactly how many cakes would serve 50 people?

\frac{3\text{ cakes}}{35\text{ people}} = \frac{\quad}{\quad}

1. if 6 tomatoes are needed to make 5 cups of salsa, exactly how many cups of salsa can be made with 26 tomatoes?

\frac{\quad}{\quad} = \frac{\quad}{\quad}

1. if a car can drive 200 miles on 7 gallons of gas, exactly how many gallons of gas will it take for the car to drive 410 miles?

\frac{\quad}{\quad} = \frac{\quad}{\quad}

1. in a drawing, 3 inches represents 10 yards. how many inches represents 92 yards?

\frac{\quad}{\quad} = \frac{\quad}{\quad}

Explanation:

Set up proportion for Question 1

$$ \frac{3\text{ cakes}}{35\text{ people}} = \frac{x\text{ cakes}}{50\text{ people}} $$

Set up proportion for Question 2

$$ \frac{6\text{ tomatoes}}{5\text{ cups of salsa}} = \frac{26\text{ tomatoes}}{x\text{ cups of salsa}} $$

Set up proportion for Question 3

$$ \frac{200\text{ miles}}{7\text{ gallons}} = \frac{410\text{ miles}}{x\text{ gallons}} $$

Set up proportion for Question 4

$$ \frac{3\text{ inches}}{10\text{ yards}} = \frac{x\text{ inches}}{92\text{ yards}} $$

Answer:

Question 1

$$\frac{3\text{ cakes}}{35\text{ people}} = \frac{x\text{ cakes}}{50\text{ people}}$$

Question 2

$$\frac{6\text{ tomatoes}}{5\text{ cups of salsa}} = \frac{26\text{ tomatoes}}{x\text{ cups of salsa}}$$

Question 3

$$\frac{200\text{ miles}}{7\text{ gallons}} = \frac{410\text{ miles}}{x\text{ gallons}}$$

Question 4

$$\frac{3\text{ inches}}{10\text{ yards}} = \frac{x\text{ inches}}{92\text{ yards}}$$