Real-World Math: Modeling Situations and Interpreting Solutions

A store sells apples for $2 each and oranges for $3 each. If you buy a total of 10 fruits for $24, how many of each fruit did you buy? Write an equation to represent this situation and interpret your solution.

• 5 apples and 5 oranges

• 6 apples and 4 oranges

• 7 apples and 3 oranges

• 4 apples and 6 oranges

A gardener is planting flowers in rows. If each row has 8 flowers and he wants to plant a total of 56 flowers, how many rows will he need? Formulate an equation to solve this problem and interpret the result in context.

• 8

• 6

• 7

• 9

A recipe requires 2 cups of flour for every 3 cups of sugar. If you want to use 12 cups of sugar, how many cups of flour do you need? Develop an equation to model this relationship and interpret your findings.

• 10 cups of flour

• 8 cups of flour

• 4 cups of flour

• 6 cups of flour

A bike rental shop charges a $10 fee plus $5 for each hour rented. If you paid $35, how many hours did you rent the bike? Create an equation to represent this scenario and explain the solution in context.

• 5 hours

• 4 hours

• 6 hours

• 3 hours

A movie theater sells tickets for $8 each. If a group of friends spent $56 on tickets, how many tickets did they buy? Write an equation to model this situation and interpret the solution.

• 6

• 7

• 5

• 8

A factory produces 120 toys in 3 hours. If the production rate remains constant, how many toys will it produce in 5 hours? Formulate an equation to solve this problem and explain the meaning of your answer.

• 250 toys

• 200 toys

• 180 toys

• 150 toys

A swimming pool can be filled in 4 hours with one hose and in 6 hours with another hose. If both hoses are used together, how long will it take to fill the pool? Create an equation to model this situation and interpret the solution.

• 2.4 hours

• 3 hours

• 5 hours

• 1.5 hours

A train travels at a speed of 60 miles per hour. How far will it travel in 2.5 hours? Write an equation to represent this scenario and explain what the solution means in real-world terms.

• 120 miles

• 180 miles

• 200 miles

• 150 miles