Exploring Systems of Equations in Real-Life Scenarios

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?

• 20 adult tickets and 30 student tickets

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

Two friends, Alice and Bob, are saving money for a concert. Alice saves $15 each week, while Bob saves $10 each week. If Alice has $30 more than Bob after a certain number of weeks, how many weeks have they been saving?

• 4

• 10

• 6

• 8

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 how many cows does the farmer have?

• 5 chickens and 15 cows

• 15 chickens and 5 cows

• 12 chickens and 8 cows

• 10 chickens and 10 cows

A store sells pencils for $2 each and erasers for $3 each. If a customer buys a total of 10 items and spends $24, how many pencils and erasers did they buy?

• 4 pencils and 6 erasers

• 7 pencils and 3 erasers

• 6 pencils and 4 erasers

• 5 pencils and 5 erasers

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?

• 20 boys and 5 girls

• 10 boys and 15 girls

• 12 boys and 13 girls

• 15 boys and 10 girls

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

• 100 miles

• 200 miles

• 50 miles

• 150 miles

A bakery sells muffins for $2 each and cookies for $1 each. If they sold a total of 100 items for $150, how many muffins and cookies did they sell?

• 60 muffins and 40 cookies

• 40 muffins and 60 cookies

• 30 muffins and 70 cookies

• 50 muffins and 50 cookies

Two types of plants are being grown in a garden: roses and tulips. If there are 40 plants in total and the total number of flowers is 100, how many roses and how many tulips are there?

• 35 roses and 5 tulips

• 25 roses and 15 tulips

• 30 roses and 10 tulips

• 20 roses and 20 tulips

A movie theater has two types of seats: regular and VIP. Regular seats cost $8 and VIP seats cost $12. If they sold 100 seats for a total of $960, how many regular and VIP seats were sold?

• 50 regular seats and 50 VIP seats

• 70 regular seats and 30 VIP seats

• 80 regular seats and 20 VIP seats

• 60 regular seats and 40 VIP seats

A bookstore sells novels for $12 each and textbooks for $20 each. If a customer bought a total of 15 books for $240, how many novels and textbooks did they buy?

• 5 novels and 10 textbooks

• 10 novels and 5 textbooks

• 6 novels and 9 textbooks

• 7 novels and 8 textbooks