Interpreting Solutions: Real-World Systems of Equations

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?

• 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

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

• 10 chickens and 10 cows

• 15 chickens and 5 cows

• 12 chickens and 8 cows

• 5 chickens and 15 cows

Two friends are saving money for a concert. One saves $15 a week and the other saves $10 a week. If together they want to save $150, how many weeks will it take them to reach their goal?

• 6 weeks

• 8 weeks

• 7 weeks

• 5 weeks

A store sells pencils and erasers. If the total cost of 3 pencils and 2 erasers is $2.50, and the cost of 2 pencils and 3 erasers is $2.00, how much does each pencil and eraser cost?

• Pencil: $0.80, Eraser: $0.10

• Pencil: $0.60, Eraser: $0.25

• Pencil: $0.70, Eraser: $0.15

• Pencil: $0.50, Eraser: $0.20

In a class, the ratio of boys to girls is 3:2. If there are 30 students in total, how many boys and girls are in the class?

• There are 18 boys and 12 girls in the class.

• 20 boys and 10 girls

• 12 boys and 18 girls

• 15 boys and 15 girls

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

A bakery sells muffins and cookies. If the total number of baked goods is 100 and the total revenue is $240, with muffins priced at $2 and cookies at $1.50, how many muffins and cookies were sold?

• 60 muffins and 40 cookies

• 80 muffins and 20 cookies

• 70 muffins and 30 cookies

• 50 muffins and 50 cookies

A gym has two types of memberships: monthly and yearly. If a monthly membership costs $30 and a yearly membership costs $300, and the gym has 100 members generating $2400 in total, how many members have each type of membership?

• 80 monthly members and 20 yearly members

• 100 monthly members and 0 yearly members

• 92 monthly members and 8 yearly members

• 50 monthly members and 50 yearly members

A bookstore sells novels and textbooks. If the total number of books sold is 80 and the total revenue is $600, with novels priced at $10 and textbooks at $15, how many of each type of book were sold?

• 50 novels and 30 textbooks

• 40 novels and 40 textbooks

• 20 novels and 60 textbooks

• 30 novels and 50 textbooks

A local charity is collecting cans. If they collected 120 cans in total, and the number of vegetable cans is twice the number of fruit cans, how many vegetable and fruit cans did they collect?

• 60 fruit cans and 60 vegetable cans

• 30 fruit cans and 90 vegetable cans

• 40 fruit cans and 80 vegetable cans

• 50 fruit cans and 70 vegetable cans