Solving Real-World Problems with Systems of Equations

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?

• 100 adult tickets and 50 student tickets

• 60 adult tickets and 90 student tickets

• 80 adult tickets and 70 student tickets

• 90 adult tickets and 60 student tickets

Maria and John are collecting stamps. Maria has twice as many stamps as John. Together, they have 36 stamps. How many stamps does each person have?

• Maria has 20 stamps, John has 16 stamps.

• Maria has 24 stamps, John has 12 stamps.

• Maria has 18 stamps, John has 18 stamps.

• Maria has 30 stamps, John has 6 stamps.

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?

• 12 chickens and 8 cows

• 10 chickens and 10 cows

• 5 chickens and 15 cows

• 15 chickens and 5 cows

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?

• 12 boys and 13 girls

• 15 boys and 10 girls

• 10 boys and 15 girls

• 20 boys and 5 girls

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 $6.00, how many pencils and erasers did the student buy?

• 8 pencils and 2 erasers

• 6 pencils and 4 erasers

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 each week, while Jamie saves $8 each week. If they want to have a total of $100 together, how many weeks will it take for them to reach their goal?

• 10 weeks

• 8 weeks

• 6 weeks

• 12 weeks

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 many cups of sugar will you need?

• 12 cups of sugar

• 6 cups of sugar

• 18 cups of sugar

• 24 cups of sugar

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

• 120 miles

• 100 miles

• 75 miles

• 50 miles

In a fruit basket, there are apples and oranges. If there are 30 fruits in total and the number of apples is 4 more than twice the number of oranges, how many apples and oranges are in the basket?

• 15 apples and 15 oranges

• 10 apples and 20 oranges

• 25 apples and 5 oranges

• 20 apples and 8 oranges

A concert hall has two types of seating: regular seats and VIP seats. Regular seats cost $50 each, and VIP seats cost $100 each. If the total revenue from 200 seats sold is $12,000, how many regular and VIP seats were sold?

• 150 regular seats and 50 VIP seats were sold.

• 200 regular seats and 0 VIP seats were sold.

• 50 regular seats and 150 VIP seats were sold.

• 100 regular seats and 100 VIP seats were sold.