Solving Real-World Systems of Equations for 8th Grade

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?

• 20 adult tickets and 30 student tickets

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 student tickets

Maria and John are saving money for a concert. Maria saves $15 each week, while John saves $10 each week. If Maria has saved $90 more than John after a certain number of weeks, how many weeks have they been saving?

• 12 weeks

• 30 weeks

• 18 weeks

• 24 weeks

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?

• 5 chickens and 15 cows

• 10 chickens and 10 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

Two friends, Alex and Jamie, are collecting stickers. Alex has 3 times as many stickers as Jamie. Together, they have 80 stickers. How many stickers does each friend have?

• Alex has 40 stickers and Jamie has 40 stickers.

• Alex has 70 stickers and Jamie has 10 stickers.

• Alex has 50 stickers and Jamie has 30 stickers.

• Alex has 60 stickers and Jamie has 20 stickers.

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?

• 75 miles

• 100 miles

• 50 miles

• 120 miles

In a school, the number of boys is twice the number of girls. If there are 120 students in total, how many boys and girls are there?

• 60 boys and 60 girls

• 50 boys and 70 girls

• 100 boys and 20 girls

• 80 boys and 40 girls

A bookstore sells fiction and non-fiction books. Fiction books cost $12 each and non-fiction books cost $15 each. If a customer buys 10 books for a total of $130, how many of each type did they buy?

• 6 fiction and 4 non-fiction books

• 4 fiction and 6 non-fiction books

• 3 fiction and 7 non-fiction books

• 5 fiction and 5 non-fiction books

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 $50. If a customer pays $125 for their membership, which plan did they choose and how many months did they sign up for?

• Plan A, 5 months

• Plan B, 5 months

• Plan A, 4 months

• Plan B, 3 months

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 of each type of seat were sold?

• 150 regular seats and 50 VIP seats

• 100 regular seats and 100 VIP seats

• 160 regular seats and 40 VIP seats

• 180 regular seats and 20 VIP seats

In a fruit market, apples cost $2 each and oranges cost $3 each. If a customer buys a total of 15 fruits for $36, how many apples and oranges did they buy?

• 7 apples and 8 oranges

• 8 apples and 7 oranges

• 10 apples and 5 oranges

• 9 apples and 6 oranges