Solving Real-World Systems of Equations for Grade 8

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 adult and student tickets were sold?

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 20 adult tickets and 30 student tickets

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

• 10 chickens and 10 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

• 5 chickens and 15 cows

Two friends are saving money for a concert. One saves $15 a week and the other saves $10 a week. If they want to save a total of $200 together, how many weeks will it take for them to reach their goal?

• 8 weeks

• 10 weeks

• 12 weeks

• 6 weeks

A store sells pencils for $2 each and erasers for $3 each. If a student buys a total of 10 items and spends $24, how many pencils and erasers did they buy?

• 7 pencils and 3 erasers

• 6 pencils and 4 erasers

• 4 pencils and 6 erasers

• 5 pencils and 5 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 in the class?

• 20 boys and 5 girls

• 12 boys and 13 girls

• 15 boys and 10 girls

• 10 boys and 15 girls

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?

• 100 miles

• 50 miles

• 120 miles

• 75 miles

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

• 30 muffins and 70 cookies

• 60 muffins and 40 cookies

• 50 muffins and 50 cookies

• 40 muffins and 60 cookies

A gym has two types of memberships: a monthly membership for $25 and a yearly membership for $250. If 40 memberships were sold for a total of $800, how many of each type were sold?

• 20 monthly memberships and 20 yearly memberships

• 40 monthly memberships and 0 yearly memberships

• 10 monthly memberships and 30 yearly memberships

• 30 monthly memberships and 10 yearly memberships

A bookstore sells novels for $15 and textbooks for $30. If they sold a total of 20 books for $300, how many novels and textbooks were sold?

• 20 novels and 0 textbooks

• 15 novels and 5 textbooks

• 10 novels and 10 textbooks

• 5 novels and 15 textbooks

A gardener is planting flowers and shrubs. If flowers cost $3 each and shrubs cost $5 each, and the gardener buys a total of 15 plants for $60, how many flowers and shrubs did they buy?

• 10 flowers and 5 shrubs

• 12 flowers and 3 shrubs

• 8 flowers and 7 shrubs

• 15 flowers and 0 shrubs