Proportional Relationships from Word Problems

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

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

• 7.5 Driveways

John can complete 7.2 Math problems in 8 minutes. At that rate how many Math problems can he complete in 10 minutes?
Set the Proportion first;
7.2 Math/8 Minutes = How many Math? (X)/10 minutes.
Cross Multiply and solve for X.

• 10 Math Problems

• 9 Math Problems

• 8.25 Math Problems

• 7 Math Problems

• Yes

• No

Bella is making a recipe that requires a certain ratio of sugar to flour. If she uses 16 cups of flour, how many cups of sugar does she need to maintain the ratio of 60:48?

• 3

• 15

• 20

• 10

The fee to check luggage with a new airline is based on the weight of each bag. Brett paid $7.14 to check a 42-pound bag. How much will Eileen pay if her bag weighs 63 pounds?

• $10.71

• $449.82

• $409

• $107.10

While preparing for a triathlon, Janecia swims 8 minutes for every 20 minutes she bikes.  If she swims 72 minutes, how long does she bike for?

• 180 minutes

• 144 minutes

• 92 minutes

• 80 minutes

Samantha runs 2 miles in 20 minutes.  About how far does she run in 55 minutes?

• 4.5 miles

• 5.5 miles

• 55 miles

• 7.2 miles

The fee to check luggage with a

new airline is based on the weight

of each bag. Brett paid $7.14 to

check a 42-pound bag. How

much will Eileen pay if her bag

weighs 63 pounds?

• $10.71

• $449.82

• $409

• $107.10

The fee to check luggage with a

new airline is based on the weight

of each bag. Brett paid $7.14 to

check a 42-pound bag. How

much will Eileen pay if her bag

weighs 63 pounds?

• $10.71

• $449.82

• $409

• $107.10