Real-Life Systems of Equations: Interpret & Check Solutions

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 150 tickets for $1,200, how many adult and student tickets were sold?

• 80 adult tickets and 70 student tickets

• 60 adult tickets and 90 student tickets

• 90 adult tickets and 60 student tickets

• 100 adult tickets and 50 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?

• 12 chickens and 8 cows

• 15 chickens and 5 cows

• 10 chickens and 10 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 together they want to save $200, how many weeks will it take for them to reach their goal?

• 6 weeks

• 10 weeks

• 8 weeks

• 12 weeks

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

• 4 pencils and 6 erasers

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

• 6 pencils and 4 erasers

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70, how many miles did they drive?

• 200 miles

• 50 miles

• 100 miles

• 150 miles

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 recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a batch that uses 12 cups of flour, how much sugar will you need?

• 12 cups of sugar

• 15 cups of sugar

• 18 cups of sugar

• 10 cups of sugar

A bookstore sells novels for $8 and magazines for $4. If a customer buys a total of 15 items and spends $80, how many novels and magazines did they buy?

• 5 novels and 10 magazines

• 3 novels and 12 magazines

• 7 novels and 8 magazines

• 10 novels and 5 magazines

A gardener is planting flowers and shrubs. If he plants 3 times as many flowers as shrubs and he plants a total of 32 plants, how many flowers and shrubs did he plant?

• 24 flowers and 8 shrubs

• 28 flowers and 4 shrubs

• 20 flowers and 12 shrubs

• 16 flowers and 16 shrubs

A local gym has two types of memberships: a monthly membership for $30 and a yearly membership for $300. If they have 50 members and collect a total of $1,200 in one month, how many monthly and yearly memberships do they have?

• 40 monthly memberships and 10 yearly memberships

• 30 monthly memberships and 20 yearly memberships

• 50 monthly memberships and 0 yearly memberships

• 46 monthly memberships and 4 yearly memberships