Proportional Relationships: Equations & Real-World Problems

A recipe calls for 2 cups of flour for every 3 cups of sugar. If you have 8 cups of flour, how many cups of sugar do you need? Write an equation to represent this relationship.

• 6 cups of sugar

• 12 cups of sugar

• 10 cups of sugar

• 8 cups of sugar

A car travels 150 miles on 5 gallons of gas. How many miles can it travel on 8 gallons of gas? Identify the proportional relationship and write an equation.

• 180 miles

• 240 miles

• 200 miles

• 300 miles

A school is planning a field trip and needs to rent buses. Each bus can hold 30 students. If there are 120 students going, how many buses are needed? Write an equation to find the number of buses.

• 3

• 4

• 6

• 5

A gardener plants 4 rows of flowers, with each row containing 6 flowers. If the gardener wants to plant 10 rows, how many flowers will be needed? Identify the proportional relationship and write an equation.

• 40

• 80

• 60

• 100

A recipe requires 3 eggs for every 2 cups of milk. If you want to use 8 cups of milk, how many eggs do you need? Write an equation to represent this relationship.

• 6

• 10

• 12

• 15

A factory produces 500 toys in 4 hours. How many toys can it produce in 10 hours? Identify the proportional relationship and write an equation.

• 1500 toys

• 1250 toys

• 750 toys

• 1000 toys

A cyclist travels 12 miles in 30 minutes. How far can the cyclist travel in 1 hour? Write an equation to represent this relationship and identify the proportional relationship.

• 30 miles

• 18 miles

• 24 miles

• 36 miles

A painter can paint 5 walls in 3 hours. How many walls can the painter paint in 9 hours? Write an equation to find the number of walls painted and identify the proportional relationship.

• 20 walls

• 10 walls

• 25 walls

• 15 walls

A recipe for cookies requires 2 cups of sugar for every 5 cups of flour. If you want to use 15 cups of flour, how much sugar do you need? Write an equation to represent this relationship.

• 6 cups of sugar

• 8 cups of sugar

• 10 cups of sugar

• 4 cups of sugar

A store sells 3 notebooks for $6. How much would 10 notebooks cost? Identify the proportional relationship and write an equation.

• $15

• $30

• $25

• $20