Solving Word Problems Using Proportions

Olivia is a city planner who is designing a miniature model of a city. The model is 1/100th the size of the actual city. If the height of the tallest building in the model is 12 inches, what would be the height of the actual tallest building in the city that Olivia is planning?

• 12 inches

• 100 inches

• 240 inches

• 1200 inches

Ethan is planning a long drive in his car which consumes 1 gallon of gas for every 25 miles. If his destination is 200 miles away, how many gallons of gas will he need for his journey?

• 5 gallons

• 15 gallons

• 10 gallons

• 8 gallons

Abigail, Ava, and Hannah are trying to figure out how to equally split a pizza into 3 parts. What method are they likely to use?

• Writing a novel

• Calculating the area of a circle

• Baking a cake

• The cross-multiplication method

Noah has 3 apples and he wants to share them equally during a picnic with his 5 friends. If Scarlett wants to do the same during her picnic with her 15 friends, how many apples does Scarlett need to bring?

• Scarlett needs to bring 12 apples

• Scarlett needs to bring 9 apples

• Scarlett needs to bring 5 apples

• Scarlett needs to bring 3 apples

Kai is planning to host a party for his friends Charlotte and Daniel. He wants to make his special punch which requires 3 cups of sugar to serve 24 guests. If he is expecting 36 guests at the party, how many cups of sugar will he need for the punch?

• 2.5 cups

• 3 cups

• 4.5 cups

• 5 cups

Emily's original painting has a width of 3 inches and a height of 4 inches. She enlarged the size of the painting so that it has a width of 15 inches. What is the new height?

Emily's original painting has a width of 3 inches and a height of 4 inches. She enlarged the size of the painting so that it has a width of 15 inches. What is the new height?

Now solve the proportion.

If you can buy four bunches of purple grapes for $10, then how many can you buy with $25?

Solve the proportion.

• 1.6 bunches

• 10 bunches

• 62.5 bunches

• 12 bunches

Fairview and Rockville are 104 miles from each other. How far apart would the cities be on a map that has a scale of 1 cm : 13 miles? Choose the correct proportion.

Pat needs 14 sticks of pepperoni to make 28 pizzas.  How many sticks of pepperoni are needed to make 36 pizzas?  

• 15 pizzas

• 252 sticks

• 18 sticks

• 18 pizzas