Solving Real-World Problems: Substitution & Elimination

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?

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 20 adult tickets and 30 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 8 apples and Maria has 16 apples.

• John has 12 apples and Maria has 12 apples.

• John has 10 apples and Maria has 14 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?

• 75 miles

• 100 miles

• 120 miles

• 50 miles

In a fruit basket, there are oranges and bananas. If there are 3 times as many bananas as oranges and the total number of fruits is 40, how many of each type of fruit are there?

• 15 oranges and 25 bananas

• 20 oranges and 20 bananas

• 5 oranges and 35 bananas

• 10 oranges and 30 bananas

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 10 items and spends $6.00, how many pencils and erasers did they buy?

• 6 pencils and 4 erasers

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

• 8 pencils and 2 erasers

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 a week, while Jamie saves $3 a week. If they want to save a total of $50 together, how many weeks will it take for them to reach their goal?

• 7 weeks

• 5 weeks

• 12 weeks

• 10 weeks

A gardener is planting flowers in two types of pots. The small pots hold 3 flowers each, and the large pots hold 5 flowers each. If the gardener has 30 flowers and uses a total of 8 pots, how many of each type of pot did they use?

• 4 small pots and 4 large pots

• 6 small pots and 2 large pots

• 3 small pots and 5 large pots

• 5 small pots and 3 large pots

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

• 8 boys and 17 girls

• 10 boys and 15 girls

• 5 boys and 20 girls

• 12 boys and 13 girls

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a half batch, how much of each ingredient do you need?

• 1.5 cups of flour and 2 cups of sugar

• 2 cups of flour and 1 cup of sugar

• 1 cup of flour and 1.5 cups of sugar

• 2 cups of flour and 3 cups of sugar

A bookstore sells novels for $12 and magazines for $5. If a customer buys a total of 8 items and spends $70, how many novels and magazines did they buy?

• 4 novels and 4 magazines

• 3 novels and 5 magazines

• 2 novels and 6 magazines

• 5 novels and 3 magazines