Solving Real-World Linear Equations for 8th Graders

A school is selling tickets for a play. Adult tickets cost $10 each and student tickets cost $5 each. If the school sold a total of 150 tickets for $1,200, how many adult and student tickets were sold?

• 100 adult tickets and 50 student tickets

• 90 adult tickets and 60 student tickets

• 80 adult tickets and 70 student tickets

• 60 adult tickets and 90 student tickets

Maria and John are saving money for a new bike. Maria has $30 and saves $5 each week, while John has $20 and saves $10 each week. How many weeks will it take for them to have the same amount of money?

• 1 week

• 3 weeks

• 2 weeks

• 4 weeks

A farmer has chickens and cows. If the total number of animals is 50 and there are 150 legs in total, how many chickens and cows does the farmer have?

• 30 chickens and 20 cows

• 25 chickens and 25 cows

• 10 chickens and 40 cows

• 20 chickens and 30 cows

Two friends, Alex and Sam, are collecting baseball cards. Alex has 20 cards and buys 3 more each week, while Sam has 10 cards and buys 5 more each week. How many weeks will it take for them to have the same number of cards?

• 5 weeks

• 10 weeks

• 4 weeks

• 6 weeks

A bookstore sells fiction and non-fiction books. If the total number of books sold is 200 and the total revenue is $1,500, with fiction books priced at $10 and non-fiction at $15, how many of each type of book were sold?

• 200 fiction books and 0 non-fiction books

• 100 fiction books and 100 non-fiction books

• 150 fiction books and 50 non-fiction books

• 50 fiction books and 150 non-fiction books

In a class, there are boys and girls. If the total number of students is 30 and there are 10 more girls than boys, how many boys and girls are in the class?

• 15 boys and 15 girls

• 12 boys and 18 girls

• 5 boys and 25 girls

• 10 boys and 20 girls

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?

• 50 miles

• 100 miles

• 150 miles

• 200 miles

A concert hall has two types of seating: regular and VIP. If the total number of seats is 300 and the total revenue from ticket sales is $4,500, with regular tickets priced at $15 and VIP tickets at $30, how many of each type of ticket were sold?

• 250 regular tickets and 50 VIP tickets

• 300 regular tickets and 0 VIP tickets

• 100 regular tickets and 200 VIP tickets

• 150 regular tickets and 150 VIP tickets

Lisa and Tom are selling cookies. Lisa sells her cookies for $2 each and Tom sells his for $3 each. If they sold a total of 100 cookies for $240, how many cookies did each sell?

• Lisa sold 50 cookies and Tom sold 50 cookies.

• Lisa sold 70 cookies and Tom sold 30 cookies.

• Lisa sold 40 cookies and Tom sold 60 cookies.

• Lisa sold 60 cookies and Tom sold 40 cookies.

A gym has two types of memberships: monthly and yearly. If there are 200 members and the total revenue from memberships is $3,600, with monthly memberships costing $30 and yearly memberships costing $300, how many of each type of membership are there?

• 150 monthly memberships and 50 yearly memberships

• 100 monthly memberships and 100 yearly memberships

• 200 monthly memberships and 0 yearly memberships

• 188 monthly memberships and 12 yearly memberships