Mastering Substitution: Variables & Equations Challenge

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

• 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 has a total of 30 coins made up of dimes and quarters. If the total value of the coins is $5.50, how many dimes and quarters does she have?

• 5 dimes and 25 quarters

• 15 dimes and 15 quarters

• 10 dimes and 20 quarters

• Maria has 13 dimes and 17 quarters.

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

• 5 chickens and 15 cows

• 15 chickens and 5 cows

• 10 chickens and 10 cows

• 12 chickens and 8 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?

• 3 novels and 7 magazines

• 6 novels and 4 magazines

• 4 novels and 6 magazines

• 5 novels and 5 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?

• 120 miles

• 100 miles

• 75 miles

• 50 miles

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 a week, while Jamie saves $8 a week. If they want to save a total of $100 together, how many weeks will it take for them to reach their goal?

• 8 weeks

• 12 weeks

• 10 weeks

• 6 weeks

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?

• 18 cups of sugar

• 12 cups of sugar

• 15 cups of sugar

• 9 cups of sugar

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?

• 10 boys and 15 girls

• 12 boys and 13 girls

• 15 boys and 10 girls

• 20 boys and 5 girls

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 12 items and spends $7.00, how many pencils and erasers did they buy?

• 6 pencils and 6 erasers

• 10 pencils and 2 erasers

• 12 pencils and 0 erasers

• 8 pencils and 4 erasers

A gardener is planting flowers and shrubs. If the total number of plants is 40 and the total number of leaves is 100 (flowers have 2 leaves each and shrubs have 5 leaves each), how many flowers and shrubs are there?

• 30 flowers and 10 shrubs

• 20 flowers and 20 shrubs

• 25 flowers and 15 shrubs

• 10 flowers and 30 shrubs