Solving Real-World Linear Equations: Substitution & Elimination

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

• 90 adult tickets and 60 student tickets

• 60 adult tickets and 90 student tickets

• 100 adult tickets and 50 student tickets

• 80 adult tickets and 70 student tickets

Maria and John are saving money for a concert. Maria saves $15 each week, while John saves $10 each week. If Maria has already saved $60 more than John, how many weeks have they been saving?

• 10 weeks

• 12 weeks

• 15 weeks

• 8 weeks

A farmer has chickens and cows. The total number of animals is 50, and there are 150 legs in total. How many chickens and cows does the farmer have?

• 10 chickens and 40 cows

• 25 chickens and 25 cows

• 30 chickens and 20 cows

• 20 chickens and 30 cows

Two friends, Alex and Jamie, are running a lemonade stand. Alex sells lemonade for $2 per cup, and Jamie sells it for $3 per cup. If they made a total of $120 and sold 50 cups, how many cups did each friend sell?

• Alex sold 40 cups and Jamie sold 10 cups.

• Alex sold 30 cups and Jamie sold 20 cups.

• Alex sold 20 cups and Jamie sold 30 cups.

• Alex sold 25 cups and Jamie sold 25 cups.

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50 for their rental, how many miles did they drive?

• 100 miles

• 75 miles

• 50 miles

• 120 miles

In a school, the number of boys is twice the number of girls. If there are 60 students in total, how many boys and girls are there?

• 30 boys and 30 girls

• 40 boys and 20 girls

• 50 boys and 10 girls

• 20 boys and 40 girls

A bookstore sells fiction and non-fiction books. Fiction books cost $12 each, and non-fiction books cost $15 each. If a customer bought 10 books for a total of $130, how many of each type did they buy?

• 3 fiction and 7 non-fiction books

• 4 fiction and 6 non-fiction books

• 6 fiction and 4 non-fiction books

• 5 fiction and 5 non-fiction books

A gym has two types of memberships: a monthly membership for $25 and a yearly membership for $250. If 40 members signed up and the total revenue was $800, how many of each type of membership were sold?

• 30 monthly memberships and 10 yearly memberships

• 40 monthly memberships and 0 yearly memberships

• 20 monthly memberships and 20 yearly memberships

• 10 monthly memberships and 30 yearly memberships

A local bakery sells muffins and cookies. Muffins cost $2 each, and cookies cost $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

• 30 muffins and 70 cookies

• 40 muffins and 60 cookies

• 50 muffins and 50 cookies

In a class, the number of boys is 5 more than twice the number of girls. If there are 35 students in total, how many boys and girls are in the class?

• 15 boys and 20 girls

• 25 boys and 10 girls

• 30 boys and 5 girls

• 20 boys and 15 girls