Graphing & Solving 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 of each type of ticket did they sell?

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 20 adult tickets and 30 student tickets

• 25 adult tickets and 25 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

• 8

• 10

• 6

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

• 10 chickens and 10 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

• 5 chickens and 15 cows

A store sells pencils for $0.50 each and erasers for $1.00 each. If a student buys a total of 12 items and spends $7.00, how many pencils and erasers did they buy?

• 10 pencils and 2 erasers

• 8 pencils and 4 erasers

• 6 pencils and 6 erasers

• 12 pencils and 0 erasers

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

• 15 boys and 10 girls

• 12 boys and 13 girls

• 20 boys and 5 girls

• 10 boys and 15 girls

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer paid $50 for their rental, how many miles did they drive?

• 200 miles

• 250 miles

• 150 miles

• 100 miles

A local bakery sells muffins for $2 each and cookies for $1.50 each. If a customer buys a total of 10 items and spends $15, how many muffins and cookies did they buy?

• 0 muffins and 10 cookies

• 5 muffins and 5 cookies

• 3 muffins and 7 cookies

• 2 muffins and 8 cookies

Two types of plants are being grown in a garden: roses and tulips. If there are 30 plants in total and there are 80 flowers, how many roses and how many tulips are there?

• 20 roses and 10 tulips

• 10 roses and 20 tulips

• 15 roses and 15 tulips

• 5 roses and 25 tulips

A gym offers two types of memberships: a monthly membership for $30 and a yearly membership for $300. If a customer spends $600 on memberships, how many of each type did they purchase?

• 3 yearly memberships and 0 monthly memberships

• 2 monthly memberships and 0 yearly memberships

• 1 monthly membership and 1 yearly membership

• 0 monthly memberships and 2 yearly memberships

A bookstore sells novels for $12 each and textbooks for $25 each. If a customer buys a total of 8 books and spends $156, how many novels and textbooks did they buy?

• 3 novels and 5 textbooks

• 4 novels and 4 textbooks

• 5 novels and 3 textbooks

• 2 novels and 6 textbooks