Mastering Substitution: Solving Real-World Equations

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If the total revenue from selling 30 tickets is $200, how many adult and student tickets were sold?

• 20 adult tickets and 10 student tickets

• 15 adult tickets and 15 student tickets

• 5 adult tickets and 25 student tickets

• 10 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 12 apples and Maria has 12 apples.

• John has 8 apples and Maria has 16 apples.

• John has 10 apples and Maria has 14 apples.

• John has 6 apples and Maria has 18 apples.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70, how many miles did they drive?

• 200 miles

• 50 miles

• 100 miles

• 150 miles

In a fruit basket, there are oranges and bananas. The number of oranges is three times the number of bananas. If there are 48 fruits in total, how many of each type of fruit are there?

• 20 bananas and 28 oranges

• 12 bananas and 36 oranges

• 24 bananas and 24 oranges

• 10 bananas and 38 oranges

A bookstore sells fiction and non-fiction books. Fiction books cost $12 each and non-fiction books cost $15 each. If a customer buys 5 books for a total of $60, how many of each type did they buy?

• 3 fiction books, 2 non-fiction books

• 2 fiction books, 3 non-fiction books

• 1 fiction book, 4 non-fiction books

• 5 fiction books, 0 non-fiction books

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?

• 15 flowers and 0 shrubs

• 10 flowers and 5 shrubs

• 0 flowers and 15 shrubs

• 5 flowers and 10 shrubs

Two friends, Alex and Jamie, are saving money for a concert. Alex has $20 more than Jamie. If together they have $100, how much does each friend have?

• Alex has $70 and Jamie has $30.

• Alex has $80 and Jamie has $20.

• Alex has $60 and Jamie has $40.

• Alex has $50 and Jamie has $50.

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

• 12 boys and 13 girls

• 20 boys and 5 girls

• 10 boys and 15 girls

• 15 boys and 10 girls

A pet store has cats and dogs. The number of cats is 4 less than twice the number of dogs. If there are 20 pets in total, how many cats and dogs are there?

• 14 cats and 6 dogs

• 10 cats and 10 dogs

• 8 cats and 12 dogs

• 12 cats and 8 dogs