Solving Real-World Systems of Equations for 9th Graders

A farmer has chickens and cows. If the total number of animals is 30 and the total number of legs is 100, how many chickens and cows does the farmer have?

• 10 chickens and 20 cows

• 5 chickens and 25 cows

• 15 chickens and 15 cows

• 20 chickens and 10 cows

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 store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 20 items and spends $12, how many pencils and erasers did the student buy?

• 10 pencils and 10 erasers

• 12 pencils and 8 erasers

• 16 pencils and 4 erasers

• 18 pencils and 2 erasers

Two friends are saving money for a concert. One saves $5 a week and the other saves $8 a week. If together they want to save $100, how many weeks will it take for them to reach their goal?

• 8 weeks

• 6 weeks

• 10 weeks

• 12 weeks

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

• 150 miles

• 50 miles

• 200 miles

• 100 miles

A local gym offers two membership plans. Plan A costs $30 per month and Plan B costs $20 per month plus a one-time fee of $50. If a customer wants to spend a total of $110, which plan should they choose?

• Plan B

• Plan A with a one-time fee of $20

• Plan B with a monthly fee of $50

• Plan A

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?

• 15 boys and 10 girls

• 20 boys and 5 girls

• 10 boys and 15 girls

• 12 boys and 13 girls

A bakery sells muffins for $2 each and cookies for $1 each. If a customer buys a total of 15 items and spends $24, how many muffins and cookies did they buy?

• 9 muffins and 6 cookies

• 10 muffins and 5 cookies

• 7 muffins and 8 cookies

• 8 muffins and 7 cookies

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

• 150 regular seats and 50 VIP seats

• 160 regular seats and 40 VIP seats

• 180 regular seats and 20 VIP seats

• 100 regular seats and 100 VIP seats

A delivery service charges a base fee of $10 plus $1.50 per mile. If a customer paid $22.50 for a delivery, how many miles was the delivery?

• 10

• 5

• 12

• 8