Mastering Variables & Equations in Word Problems

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 $350, how many adult and student tickets were sold?

• 15 adult tickets and 35 student tickets

• 25 adult tickets and 25 student tickets

• 20 adult tickets and 30 student tickets

• 10 adult tickets and 40 student tickets

Maria and John are saving money for a new bike. Maria saves $15 a week, while John saves $10 a week. If they want to save a total of $150 together, how many weeks will it take for them to reach their goal?

• 7 weeks

• 5 weeks

• 6 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?

• 10 chickens and 10 cows

• 12 chickens and 8 cows

• 15 chickens and 5 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

• 25 apples and 5 oranges

• 15 apples and 15 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 for their rental, how many miles did they drive?

• 100 miles

• 200 miles

• 50 miles

• 150 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 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 bookstore sells fiction and non-fiction books. If the total number of books sold is 120 and the fiction books sold are twice the non-fiction books, how many of each type of book were sold?

• Fiction: 80, Non-Fiction: 40

• Fiction: 100, Non-Fiction: 20

• Fiction: 50, Non-Fiction: 70

• Fiction: 60, Non-Fiction: 60

A concert hall has two types of tickets: VIP tickets for $100 and regular tickets for $50. If 200 tickets were sold for a total of $10,000, how many VIP and regular tickets were sold?

• 200 VIP tickets and 0 regular tickets

• 50 VIP tickets and 150 regular tickets

• 0 VIP tickets and 200 regular tickets

• 100 VIP tickets and 100 regular tickets

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

• 10 boys and 15 girls

• 15 boys and 10 girls

A bakery sells muffins and cookies. If the total number of baked goods is 150 and the number of muffins is 3 times the number of cookies, how many muffins and cookies are there?

• 75 muffins and 75 cookies

• 100 muffins and 50 cookies

• 111 muffins and 37 cookies

• 120 muffins and 30 cookies