Solving Real-Life Problems: Check Solutions & Interpret Results

A store sells pencils for $0.50 each and erasers for $0.75 each. If you buy a total of 10 items and spend $6.00, how many pencils and erasers did you buy? Check your solution by calculating the total cost.

• 4 pencils and 6 erasers

• 5 pencils and 5 erasers

• 6 pencils and 4 erasers

• 7 pencils and 3 erasers

Maria has twice as many marbles as John. If John has x marbles and together they have 36 marbles, how many marbles does each person have? Verify your answer by adding the number of marbles together.

• John has 12 marbles, Maria has 24 marbles.

• John has 18 marbles, Maria has 36 marbles.

• John has 10 marbles, Maria has 26 marbles.

• John has 15 marbles, Maria has 30 marbles.

A recipe requires 3 cups of flour and 2 cups of sugar. If you want to make 4 batches of the recipe, how many cups of flour and sugar do you need in total? Check your calculations by dividing the total amounts by the number of batches.

• 10 cups of flour and 6 cups of sugar

• 15 cups of flour and 10 cups of sugar

• 12 cups of flour and 8 cups of sugar

• 8 cups of flour and 4 cups of sugar

Tom is 5 years older than his sister. If the sum of their ages is 25, how old are they? Interpret the results by explaining the relationship between their ages.

• Tom is 15 years old and his sister is 10 years old.

• Tom is 20 years old and his sister is 5 years old.

• Tom is 12 years old and his sister is 7 years old.

• Tom is 18 years old and his sister is 13 years old.

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer pays $50, how many miles did they drive? Check your solution by calculating the total cost based on the miles driven.

• 250 miles

• 200 miles

• 150 miles

• 100 miles

A gardener has a total of 60 plants, which are either flowers or shrubs. If the number of flowers is 4 times the number of shrubs, how many flowers and shrubs does the gardener have? Verify your answer by adding the two quantities together.

• 24 flowers and 36 shrubs

• 48 flowers and 12 shrubs

• 60 flowers and 0 shrubs

• 30 flowers and 30 shrubs

A book costs $15 and a magazine costs $5. If you buy a total of 8 items and spend $80, how many books and magazines did you buy? Check your solution by calculating the total cost of the items purchased.

• 5 books and 3 magazines

• 4 books and 4 magazines

• 3 books and 5 magazines

• 2 books and 6 magazines

In a class, the ratio of boys to girls is 3:2. If there are 30 students in total, how many boys and girls are there? Interpret the results by discussing the ratio in the context of the class size.

• 20 boys and 10 girls

• There are 18 boys and 12 girls in the class.

• 12 boys and 18 girls

• 15 boys and 15 girls

A movie theater sells tickets for $10 each and snacks for $5 each. If a family spends $45 on tickets and snacks and buys 4 tickets, how many snacks did they buy? Check your solution by calculating the total cost of the tickets and snacks.

• 3

• 2

• 1

• 5

A train travels at a speed of 60 miles per hour. If it travels for 2 hours and then increases its speed to 75 miles per hour for another hour, how far does the train travel in total? Verify your answer by calculating the distance for each segment of the trip.

• 150 miles

• 180 miles

• 210 miles

• 195 miles