Solving Real-World Systems of Equations for Grade 8

A school is selling tickets for a play. Adult tickets cost $10 each and student tickets cost $5 each. If they sold a total of 50 tickets for $400, how many adult and student tickets were sold?

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 15 adult tickets and 35 student tickets

• 25 adult tickets and 25 student tickets

Maria and John are saving money for a video game. Maria has $20 and saves $5 each week, while John has $10 and saves $10 each week. In how many weeks will they have the same amount of money?

• 4 weeks

• 1 week

• 3 weeks

• 2 weeks

A farmer has chickens and cows. If there are 30 animals in total and there are 80 legs, how many chickens and cows does the farmer have?

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 5 chickens and 25 cows

• 15 chickens and 15 cows

A bookstore sells fiction and non-fiction books. If the total number of books sold is 100 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?

• 40 fiction books and 60 non-fiction books

• 20 fiction books and 80 non-fiction books

• 30 fiction books and 70 non-fiction books

• 50 fiction books and 50 non-fiction books

Two friends, Alex and Jamie, are collecting stickers. Alex has 10 stickers and collects 3 more each week, while Jamie has 5 stickers and collects 5 more each week. After how many weeks will they have the same number of stickers?

• 2 weeks

• 3 weeks

• 5 weeks

• 4 weeks

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

• 100 miles

• 150 miles

• 50 miles

In a fruit basket, there are apples and oranges. If there are 12 fruits in total and the total weight is 3 kg, with apples weighing 0.2 kg each and oranges weighing 0.3 kg each, how many apples and oranges are in the basket?

• 6 apples and 6 oranges

• 8 apples and 4 oranges

• 10 apples and 2 oranges

• 5 apples and 7 oranges

A concert hall has two types of seats: regular and VIP. If there are 200 seats in total and the total revenue from ticket sales is $3,000, with regular tickets priced at $10 and VIP tickets at $20, how many of each type of ticket were sold?

• 150 regular tickets and 50 VIP tickets

• 100 regular tickets and 100 VIP tickets

• 200 regular tickets and 0 VIP tickets

• 50 regular tickets and 150 VIP tickets

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 $60. If a customer paid $120, which plan did they choose and how many months did they sign up for?

• Plan A, 3 months

• Plan B, 3 months

• Plan B, 2 months

• Plan A, 4 months

In a school, there are two types of clubs: art and science. If there are 40 students in total and the total number of club meetings is 100, with art clubs meeting 2 times a week and science clubs meeting 3 times a week, how many students are in each club?

• 10 art club students and 30 science club students

• 20 art club students and 20 science club students

• 25 art club students and 15 science club students

• 30 art club students and 10 science club students