Solving Real-Life 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 150 tickets for $1,200, how many adult and student tickets were sold?

• 60 adult tickets and 90 student tickets

• 90 adult tickets and 60 student tickets

• 80 adult tickets and 70 student tickets

• 100 adult tickets and 50 student tickets

Two friends, Alex and Jamie, are saving money for a concert. Alex has $50 and saves $10 each week, while Jamie has $30 and saves $15 each week. How many weeks will it take for them to have the same amount of money?

• 6 weeks

• 2 weeks

• 8 weeks

• 4 weeks

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

• 15 chickens and 5 cows

• 10 chickens and 10 cows

• 5 chickens and 15 cows

• 12 chickens and 8 cows

A bookstore sells fiction and non-fiction books. If the total number of books sold is 80 and the total revenue is $1,200, with fiction books priced at $15 and non-fiction at $10, how many of each type of book were sold?

• 80 fiction books and 0 non-fiction books

• 70 fiction books and 10 non-fiction books

• 60 fiction books and 20 non-fiction books

• 50 fiction books and 30 non-fiction books

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

• 10 boys and 15 girls

• 20 boys and 5 girls

• 12 boys and 13 girls

• 15 boys and 10 girls

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $70, how many miles did they drive?

• 100 miles

• 200 miles

• 150 miles

• 250 miles

A local gym offers two membership plans. Plan A costs $25 per month and Plan B costs $15 per month plus a one-time fee of $60. If a customer wants to spend the same amount on both plans after 6 months, how much would they spend?

• $180

• $150

• $120

• $200

A concert hall has two types of seating: regular and VIP. 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

• 100 regular seats and 100 VIP seats

• 180 regular seats and 20 VIP seats

• 160 regular seats and 40 VIP seats

A bakery sells two types of cookies: chocolate chip and oatmeal. If the total number of cookies sold is 120 and the total revenue is $480, with chocolate chip cookies priced at $4 each and oatmeal cookies at $3 each, how many of each type were sold?

• 90 chocolate chip cookies and 30 oatmeal cookies

• 40 chocolate chip cookies and 80 oatmeal cookies

• 30 chocolate chip cookies and 90 oatmeal cookies

• 60 chocolate chip cookies and 60 oatmeal cookies

A school is organizing a field trip. The cost for a student is $15, and for a teacher, it is $10. If they collected a total of $600 from 50 students and teachers, how many students and how many teachers went on the trip?

• 30 students and 20 teachers

• 20 students and 30 teachers

• 15 students and 35 teachers

• 25 students and 25 teachers