Graph and Solve 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

• 40 adult tickets and 10 student tickets

• 20 adult tickets and 30 student tickets

• 30 adult tickets and 20 student tickets

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

• 4

• 6

• 8

• 10

A farmer has chickens and cows. If there are 20 animals in total and there are 56 legs, how many chickens and 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 for $24, how many pencils and erasers did they buy?

• 6 pencils and 4 erasers

• 4 pencils and 6 erasers

• 5 pencils and 5 erasers

• 7 pencils and 3 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?

• 12 boys and 13 girls

• 20 boys and 5 girls

• 15 boys and 10 girls

• 10 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?

• 100 miles

• 200 miles

• 150 miles

• 50 miles

A local bakery sells muffins for $1.50 each and cookies for $2 each. If a customer buys a total of 12 items for $20, how many muffins and cookies did they buy?

• 10 muffins and 2 cookies

• 6 muffins and 6 cookies

• 5 muffins and 7 cookies

• 8 muffins and 4 cookies

A gym offers two types of memberships: a monthly membership for $30 and a yearly membership for $300. If a total of 15 memberships were sold for $600, how many of each type were sold?

• 14 monthly memberships and 1 yearly membership

• 12 monthly memberships and 3 yearly memberships

• 5 monthly memberships and 10 yearly memberships

• 10 monthly memberships and 5 yearly memberships

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys a total of 8 items for $66, how many novels and magazines did they buy?

• 3 novels and 5 magazines

• 5 novels and 3 magazines

• 2 novels and 6 magazines

• 4 novels and 4 magazines