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

• 10 adult tickets and 40 student tickets

• 20 adult tickets and 30 student tickets

• 25 adult tickets and 25 student tickets

• 15 adult tickets and 35 student tickets

Maria and John are saving money for a concert. Maria has $20 more than John. Together, they have $120. How much money does each person have?

• John has $50 and Maria has $70.

• John has $60 and Maria has $80.

• John has $40 and Maria has $60.

• John has $30 and Maria has $90.

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?

• 15 chickens and 15 cows

• 25 chickens and 5 cows

• 10 chickens and 20 cows

• 20 chickens and 10 cows

In a bookstore, the price of a novel is $15 and the price of a magazine is $5. If a customer buys a total of 10 items for $100, how many novels and magazines did they buy?

• 5 novels and 5 magazines

• 4 novels and 6 magazines

• 6 novels and 4 magazines

• 3 novels and 7 magazines

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?

• 75 miles

• 50 miles

• 120 miles

• 100 miles

Two friends, Alex and Jamie, are collecting coins. Alex has twice as many coins as Jamie. Together, they have 36 coins. How many coins does each friend have?

• Alex has 30 coins and Jamie has 6 coins.

• Alex has 18 coins and Jamie has 18 coins.

• Alex has 20 coins and Jamie has 16 coins.

• Alex has 24 coins and Jamie has 12 coins.

A bakery sells muffins and cookies. A muffin costs $2 and a cookie costs $1. If a customer buys 15 items for $24, how many muffins and cookies did they buy?

• 7 muffins and 8 cookies

• 8 muffins and 7 cookies

• 10 muffins and 5 cookies

• 9 muffins and 6 cookies

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 in the class?

• 24 girls and 12 boys

• 30 girls and 6 boys

• 12 girls and 24 boys

• 18 girls and 18 boys

A movie theater has two types of tickets: adult tickets for $12 and child tickets for $6. If they sold 100 tickets for a total of $960, how many adult and child tickets were sold?

• 60 adult tickets and 40 child tickets

• 80 adult tickets and 20 child tickets

• 50 adult tickets and 50 child tickets

• 70 adult tickets and 30 child tickets

A gardener is planting flowers and shrubs. Each flower costs $3 and each shrub costs $5. If the gardener spends $45 and plants a total of 15 plants, how many flowers and shrubs did they plant?

• 0 flowers and 15 shrubs

• 15 flowers and 0 shrubs

• 10 flowers and 5 shrubs

• 5 flowers and 10 shrubs