Solving Real-World Problems with Systems of Equations

A lemonade stand sells cups for $2 each and cookies for $1 each. If the total sales were $50 and 30 items were sold, how many cups and cookies were sold?

• 15 cups and 15 cookies

• 25 cups and 5 cookies

• 10 cups and 20 cookies

• 20 cups and 10 cookies

Maria and John are selling handmade bracelets. Maria sells them for $5 each and John for $3 each. Together, they made $48 from selling 12 bracelets. How many of each did they sell?

• Maria sold 10 bracelets and John sold 2 bracelets.

• Maria sold 4 bracelets and John sold 8 bracelets.

• Maria sold 6 bracelets and John sold 6 bracelets.

• Maria sold 8 bracelets and John sold 4 bracelets.

A bookstore sells fiction and non-fiction books. Fiction books cost $10 and non-fiction books cost $15. If they sold 20 books for a total of $250, how many of each type did they sell?

• 5 fiction books and 15 non-fiction books

• 15 fiction books and 5 non-fiction books

• 10 fiction books and 10 non-fiction books

• 12 fiction books and 8 non-fiction books

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $10 a week and Jamie saves $15 a week. If they want to save a total of $200 together, how many weeks will it take?

• 12 weeks

• 8 weeks

• 6 weeks

• 10 weeks

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

• 50 miles

• 120 miles

• 75 miles

• 100 miles

A farmer sells apples for $3 per pound and oranges for $2 per pound. If he sold a total of 40 pounds of fruit for $100, how many pounds of each fruit did he sell?

• 10 pounds of apples and 30 pounds of oranges

• 25 pounds of apples and 15 pounds of oranges

• 30 pounds of apples and 10 pounds of oranges

• 20 pounds of apples and 20 pounds of oranges

In a school fundraiser, students sold chocolate bars for $2 each and cookies for $1 each. If they sold a total of 100 items and made $150, how many chocolate bars and cookies were sold?

• 60 chocolate bars and 40 cookies

• 70 chocolate bars and 30 cookies

• 40 chocolate bars and 60 cookies

• 50 chocolate bars and 50 cookies

A toy store sells action figures for $12 and board games for $20. If they sold a total of 15 toys for $240, how many of each type did they sell?

• 10 action figures and 5 board games

• 5 action figures and 10 board games

• 12 action figures and 3 board games

• 8 action figures and 7 board games

Samantha and her sister are selling cookies and brownies. Cookies are sold for $1 each and brownies for $2 each. If they sold 50 items for a total of $80, how many cookies and brownies did they sell?

• 25 cookies and 25 brownies

• 20 cookies and 30 brownies

• 10 cookies and 40 brownies

• 30 cookies and 20 brownies

A local gym offers a monthly membership for $40 and a yearly membership for $400. If they have 50 monthly members and 20 yearly members, how much total revenue do they generate from memberships?

• $8000

• 10000

• $12000

• $6000