Proportion 5 - Word Problems/Setting a proportion

Mrs. Smith’s car uses 3 gallons of gas to go 96 miles. How many gallons of gas will her car use for a trip of 160 miles?

Set a proportion First.

3 gallons/96 Miles = How many Gallons? (X) /160 Miles

Then Cross multiply and Solve for X.

• 6

• 7

• 5

• 4

One inch on a map represents 140 miles. If the distance from Rochester to Manhattan is actually 328 miles, how many inches would this be on a map, to the nearest tenth?

Set a Proportion.

140 Miles/1 Inch = 328 Miles/How many inches? (X)

Cross Multiply and Solve for X.

• 2.3 Gallons

• 2 Gallons

• 3.5 Gallons

• 5 Gallons

On a scale drawing, a room with a length of 14 feet measures 2.5 inches. If the master bedroom is 3.5 inches on the scale drawing, how long is the actual room?

Set a Proportion;

14 feet/2.5 inches = How many feet? (X) / 3.5 inches

Cross Multiply and solve for X.

• 19.6 feet

• 22 feet

• 17.4 feet

• 8.2 feet

John can shovel 5 driveways in 40 minutes. How many driveways can she shovel in 60 minutes?

Set a proportion;

5 driveways/40 minutes = How many driveways? (X)/60 minutes.

Cross Multiply and solve for X.

• 25 Driveways

• 70 Driveways

• 65 Driveways

• 75 Driveways

There are 16 members in your group. You are responsible for making them a coffee. Each one needs 3 Sugar packets and 2 Creams in their coffee. How many sugar packets and cream packets you need to make that coffee for all, if you are going to make that coffee in a big cup?

• 40 Sugar packets and 30 Creams

• 48 Sugar packets and 32 Creams

• 45 Sugar packets and 32 Creams

• 48 Sugar packets and 33 Creams

John can complete 7.3 Math problems in 8 minutes. At that rate how many Math problems can he complete in 10 minutes?

Set the Proportion first;

7.3 Math/8 Minutes = How many Math? (X)/10 minutes.

Cross Multiply and solve for X.

• 10 Math Problems

• 9.125 Math Problems

• 8.25 Math Problems

• 7 Math Problems

A map uses a scale of 1 CM : 50 Miles. If two cities are 3.5 CM apart on a Map, what is the actual distance in miles?

Set a proportion;

1CM/50 Miles = 3.5 CM/How many miles? (X)

Cross Multiply and solve for X.

• 145 Miles

• 165 Miles

• 175 Miles

• 170 Miles

A scale drawing of a building is 1 Inch = 10 feet. If the actual building is 220 feet tall, how tall is the model?

Set a proportion first;

1 inch/10 feet = How many inches for model? (X)/220 feet

• 21 inches

• 20 inches

• 22 inches

• 25 inches

If 24 inches are 2 feet, how many inches are needed for 4.5 feet?

Set a proportion.

12 inches/2 feet = How many inches? (X)/ 4.5 feet

Cross Multiply and solve for X.

• 27 inches

• 28 inches

• 32 inches

• 23 inches

If you need 32 minutes to complete a video game that gives you 200 points, how many minutes you need to gain 500 points.

Set a proportion first;

32 minutes/200 points = How many minutes? (X)/500 points

Cross Multiply and solve for X.

• 8 Minutes

• 80 Minutes

• 70 Minutes

• 20 Minutes