Mastering Word Problems: Solve Linear Equations in Context

A school is selling tickets for a play. Adult tickets cost $12 and student tickets cost $8. If the total revenue from selling 50 tickets is $480, how many adult and student tickets were sold?

• 20 adult tickets and 30 student tickets

• 10 adult tickets and 40 student tickets

• 15 adult tickets and 35 student tickets

• 25 adult tickets and 25 student tickets

Maria and John are saving money for a concert. Maria has $20 more than John. If they combine their savings, they have $140. How much money does each person have?

• John has $40 and Maria has $60.

• John has $30 and Maria has $50.

• John has $60 and Maria has $80.

• John has $50 and Maria has $70.

A farmer has chickens and cows. The total number of animals is 30, and there are 80 legs in total. How many chickens and cows does the farmer have?

• 10 chickens and 20 cows

• 15 chickens and 15 cows

• 20 chickens and 10 cows

• 25 chickens and 5 cows

In a class, the number of boys is twice the number of girls. If there are 36 students in total, how many boys and girls are there?

• 12 girls and 24 boys

• 18 girls and 18 boys

• 24 girls and 12 boys

• 30 girls and 6 boys

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 20 items and spends $12.50, how many pencils and erasers did they buy?

• 5 pencils and 15 erasers

• 12 pencils and 8 erasers

• 10 pencils and 10 erasers

• 15 pencils and 5 erasers

Two friends, Alex and Jamie, are collecting stickers. Alex has 5 more stickers than Jamie. Together, they have 45 stickers. How many stickers does each friend have?

• Alex has 30 stickers, Jamie has 15 stickers.

• Alex has 20 stickers, Jamie has 25 stickers.

• Alex has 10 stickers, Jamie has 35 stickers.

• Alex has 25 stickers, 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?

• 120 miles

• 50 miles

• 100 miles

• 75 miles

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a batch that uses 12 cups of flour, how many cups of sugar will you need?

• 6 cups of sugar

• 24 cups of sugar

• 12 cups of sugar

• 18 cups of sugar

In a bookstore, the number of fiction books is three times the number of non-fiction books. If there are 64 books in total, how many fiction and non-fiction books are there?

• Fiction: 40, Non-Fiction: 24

• Fiction: 32, Non-Fiction: 32

• Fiction: 48, Non-Fiction: 16

• Fiction: 56, Non-Fiction: 8

A local gym offers two membership plans. Plan A costs $40 per month, and Plan B costs $30 per month plus a one-time fee of $120. If a person wants to spend no more than $300, how many months can they afford each plan?

• Plan A: 5 months, Plan B: 4 months

• Plan A: 7 months, Plan B: 6 months

• Plan A: 8 months, Plan B: 7 months

• Plan A: 6 months, Plan B: 5 months