Systems of Equations: Real-World Problem Solving

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 of each type of ticket did they sell?

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

• 20 adult tickets and 30 student tickets

• 40 adult tickets and 10 student tickets

Maria and John are saving money for a new bike. Maria saves $15 each week, while John saves $10 each week. If Maria has already saved $60 and John has saved $40, how many weeks will it take for them to have the same amount saved?

• 2 weeks

• 6 weeks

• 4 weeks

• 8 weeks

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

• 15 chickens and 5 cows

• 10 chickens and 10 cows

• 12 chickens and 8 cows

• 5 chickens and 15 cows

In a fruit basket, there are apples and oranges. If there are 30 fruits in total and the number of apples is twice the number of oranges, how many apples and oranges are there?

• 10 apples and 20 oranges

• 15 apples and 15 oranges

• 25 apples and 5 oranges

• 20 apples and 10 oranges

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

• 150 miles

• 100 miles

• 200 miles

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

• Alex has 50 stickers and Jamie has 30 stickers.

• Alex has 70 stickers and Jamie has 10 stickers.

• Alex has 60 stickers and Jamie has 20 stickers.

• Alex has 40 stickers and Jamie has 40 stickers.

A bookstore sells fiction and non-fiction books. If the total number of books is 120 and the fiction books are 20 more than the non-fiction books, how many fiction and non-fiction books are there?

• Fiction: 70, Non-Fiction: 50

• Fiction: 60, Non-Fiction: 60

• Fiction: 50, Non-Fiction: 70

• Fiction: 80, Non-Fiction: 40

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?

• 20 boys and 5 girls

• 12 boys and 13 girls

• 15 boys and 10 girls

• 10 boys and 15 girls

A bakery sells two types of cookies: chocolate chip and oatmeal. If the total number of cookies is 100 and the number of chocolate chip cookies is 10 more than twice the number of oatmeal cookies, how many of each type of cookie are there?

• Oatmeal cookies: 30, Chocolate chip cookies: 70

• Oatmeal cookies: 50, Chocolate chip cookies: 50

• Oatmeal cookies: 40, Chocolate chip cookies: 60

• Oatmeal cookies: 20, Chocolate chip cookies: 80