Solving Real-World Linear Equations: A Grade 7 Challenge

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 50 tickets for $400, how many of each type of ticket did they sell?

• 35 adult tickets and 15 student tickets

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 student tickets

Maria has twice as many marbles as John. Together, they have 36 marbles. How many marbles does each person have?

• John has 18 marbles and Maria has 18 marbles.

• John has 12 marbles and Maria has 24 marbles.

• John has 15 marbles and Maria has 21 marbles.

• John has 10 marbles and Maria has 26 marbles.

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50, how many miles did they drive?

• 50 miles

• 120 miles

• 75 miles

• 100 miles

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $15 a week, while Jamie saves $10 a week. If they want to save a total of $150 together, how many weeks will it take?

• 6 weeks

• 5 weeks

• 7 weeks

• 8 weeks

A farmer has chickens and cows. If there are 20 animals in total and the total number of legs is 56, how many chickens and cows does the farmer have?

• 5 chickens and 15 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

• 10 chickens and 10 cows

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 10 items and spends $6, how many pencils and erasers did they buy?

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

• 6 pencils and 4 erasers

• 8 pencils and 2 erasers

In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many boys and girls are there?

• 12 boys and 13 girls

• 15 boys and 10 girls

• 20 boys and 5 girls

• 10 boys and 15 girls

A bakery sells cupcakes for $2 each and cookies for $1 each. If they sold a total of 100 items for $150, how many cupcakes and cookies did they sell?

• 40 cupcakes and 60 cookies

• 30 cupcakes and 70 cookies

• 60 cupcakes and 40 cookies

• 50 cupcakes and 50 cookies

A movie theater has two types of tickets: regular tickets for $12 and VIP tickets for $20. If they sold 80 tickets and made $1,200, how many of each type of ticket were sold?

• 50 regular tickets and 30 VIP tickets

• 70 regular tickets and 10 VIP tickets

• 60 regular tickets and 20 VIP tickets

• 40 regular tickets and 40 VIP tickets

A gardener is planting flowers and shrubs. If flowers cost $3 each and shrubs cost $5 each, and the gardener buys a total of 20 plants for $60, how many flowers and shrubs did they buy?

• 15 flowers and 5 shrubs

• 5 flowers and 15 shrubs

• 10 flowers and 10 shrubs

• 20 flowers and 0 shrubs