Solving Real-World Problems with Elimination Strategies

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 150 tickets for $1,200, how many adult and student tickets were sold?

• 80 adult tickets and 70 student tickets

• 90 adult tickets and 60 student tickets

• 100 adult tickets and 50 student tickets

• 60 adult tickets and 90 student tickets

Maria and John are collecting stamps. Maria has 3 times as many stamps as John. Together, they have 64 stamps. How many stamps does each person have?

• John has 16 stamps and Maria has 48 stamps.

• John has 20 stamps and Maria has 44 stamps.

• John has 32 stamps and Maria has 32 stamps.

• John has 24 stamps and Maria has 40 stamps.

A farmer has chickens and cows. The total number of animals is 50, and there are 140 legs in total. How many chickens and cows does the farmer have?

• 30 chickens and 20 cows

• 25 chickens and 25 cows

• 40 chickens and 10 cows

• 15 chickens and 35 cows

Two friends, Alex and Sam, are saving money for a video game. Alex saves $5 a week, while Sam 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?

• 6 weeks

• 12 weeks

• 10 weeks

• 8 weeks

In a fruit basket, there are apples and oranges. The total number of fruits is 30, and there are 80 seeds in total (each apple has 3 seeds and each orange has 2 seeds). How many apples and oranges are in the basket?

• 10 apples and 20 oranges

• 15 apples and 15 oranges

• 25 apples and 5 oranges

• 20 apples and 10 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 10 books for a total of $130, how many of each type did they buy?

• 6 fiction and 4 non-fiction books

• 5 fiction and 5 non-fiction books

• 4 fiction and 6 non-fiction books

• 3 fiction and 7 non-fiction books

A car rental company charges a flat fee of $20 plus $0.50 per mile driven. If a customer paid $65 for their rental, how many miles did they drive?

• 90 miles

• 80 miles

• 100 miles

• 70 miles

In a class, there are boys and girls. The number of girls is twice the number of boys. If there are 36 students in total, how many boys and girls are in the class?

• 18 boys and 18 girls

• 10 boys and 26 girls

• 15 boys and 21 girls

• 12 boys and 24 girls

A concert has two types of tickets: VIP tickets for $50 and regular tickets for $30. If 200 tickets were sold for a total of $7,000, how many VIP and regular tickets were sold?

• 30 VIP tickets and 170 regular tickets

• 100 VIP tickets and 100 regular tickets

• 50 VIP tickets and 150 regular tickets

• 70 VIP tickets and 130 regular tickets

A bakery sells muffins and cookies. Muffins cost $2 each, and cookies cost $1 each. If a customer buys 15 items for a total of $26, how many muffins and cookies did they buy?

• 11 muffins and 4 cookies

• 12 muffins and 3 cookies

• 10 muffins and 5 cookies

• 9 muffins and 6 cookies