Contextual Problem Solving: Substitution in Action

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 10 items and spends $6.00, how many pencils and erasers did they buy?

• 7 pencils and 3 erasers

• 6 pencils and 4 erasers

• 5 pencils and 5 erasers

• 4 pencils and 6 erasers

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 each week, while Jamie saves $3 each week. If Alex has $20 more than Jamie after a certain number of weeks, how many weeks have they been saving?

• 8 weeks

• 15 weeks

• 10 weeks

• 5 weeks

A gardener is planting flowers and shrubs. The total number of plants is 30, and the number of shrubs is twice the number of flowers. How many flowers and shrubs are being planted?

• 10 flowers and 20 shrubs

• 15 flowers and 15 shrubs

• 5 flowers and 25 shrubs

• 12 flowers and 18 shrubs

In a school, the number of boys is 5 more than twice the number of girls. If the total number of students is 35, how many boys and girls are there?

• 25 boys and 10 girls

• 15 boys and 20 girls

• 30 boys and 5 girls

• 20 boys and 15 girls

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer pays $50 for a rental, how many miles did they drive?

• 150 miles

• 100 miles

• 200 miles

• 250 miles

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a batch that uses a total of 12 cups of ingredients, how many cups of flour and sugar do you need?

• 4.8 cups of flour and 7.2 cups of sugar

• 3 cups of flour and 9 cups of sugar

• 6 cups of flour and 6 cups of sugar

• 5 cups of flour and 5 cups of sugar

A movie theater sells adult tickets for $12 and child tickets for $8. If a family buys a total of 5 tickets and spends $52, how many adult and child tickets did they buy?

• 1 adult ticket and 4 child tickets

• 4 adult tickets and 1 child ticket

• 3 adult tickets and 2 child tickets

• 2 adult tickets and 3 child tickets

A school is organizing a field trip. The cost per student is $15, and the total cost for 20 students is $300. If the school also needs to pay a $50 bus fee, how many students are going on the trip?

• 20

• 15

• 10

• 16

A bookstore sells novels for $10 each and magazines for $5 each. If a customer buys a total of 8 items and spends $50, how many novels and magazines did they buy?

• 3 novels and 5 magazines

• 1 novel and 7 magazines

• 4 novels and 4 magazines

• 2 novels and 6 magazines

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 15 fruits and spends $24, how many apples and bananas did they buy?

• 10 apples and 5 bananas

• 8 apples and 7 bananas

• 7 apples and 8 bananas

• 9 apples and 6 bananas