Mastering Systems of Equations: Solve for Unknowns

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

• 20 adult tickets and 30 student tickets

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

Maria has twice as many apples as John. Together, they have 24 apples. How many apples does each person have?

• John has 6 apples and Maria has 18 apples.

• John has 10 apples and Maria has 14 apples.

• John has 12 apples and Maria has 12 apples.

• John has 8 apples and Maria has 16 apples.

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50, how many miles did they drive?

• 120 miles

• 50 miles

• 100 miles

• 75 miles

In a fruit basket, there are oranges and bananas. The total number of fruits is 30, and there are 5 more oranges than bananas. How many oranges and bananas are in the basket?

• 15 oranges and 15 bananas

• 20 oranges and 10 bananas

• 10 oranges and 20 bananas

• 17 oranges and 13 bananas

A store sells pencils for $1 each and erasers for $2 each. If a student bought a total of 10 items for $8, how many pencils and erasers did the student buy?

• 7 pencils and 3 erasers

• 6 pencils and 4 erasers

• 5 pencils and 5 erasers

• 4 pencils and 6 erasers

A gardener is planting flowers and shrubs. The total number of plants is 40, and there are 3 times as many flowers as shrubs. How many flowers and shrubs are there?

• 20 flowers and 20 shrubs

• 25 flowers and 15 shrubs

• 30 flowers and 10 shrubs

• 35 flowers and 5 shrubs

Two friends, Alex and Jamie, are collecting stickers. Alex has 5 more stickers than Jamie, and together they have 35 stickers. How many stickers does each friend have?

• Alex has 15 stickers and Jamie has 20 stickers.

• Alex has 30 stickers and Jamie has 5 stickers.

• Alex has 25 stickers and Jamie has 10 stickers.

• Alex has 20 stickers and Jamie has 15 stickers.

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 much sugar will you need?

• 12 cups of sugar

• 18 cups of sugar

• 15 cups of sugar

• 10 cups of sugar

A bookstore sells novels for $15 and magazines for $5. If a customer bought a total of 8 items for $70, how many novels and magazines did they buy?

• 1 novel and 7 magazines

• 4 novels and 4 magazines

• 2 novels and 6 magazines

• 3 novels and 5 magazines

In a class, the ratio of boys to girls is 3:2. If there are 25 students in total, how many boys and girls are in the class?

• 20 boys and 5 girls

• 10 boys and 15 girls

• 12 boys and 13 girls

• 15 boys and 10 girls