Solving Real-World Problems with 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?

• 30 adult tickets and 20 student tickets

• 20 adult tickets and 30 student tickets

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 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 $60 more than John after a certain number of weeks, how many weeks have they been saving?

• 12

• 8

• 15

• 10

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 cows does the farmer have?

• 10 chickens and 10 cows

• 15 chickens and 5 cows

• 5 chickens and 15 cows

• 12 chickens and 8 cows

A store sells two types of smoothies: a small for $3 and a large for $5. If a customer buys a total of 10 smoothies for $36, how many small and large smoothies did they buy?

• 6 small smoothies and 4 large smoothies

• 5 small smoothies and 5 large smoothies

• 7 small smoothies and 3 large smoothies

• 8 small smoothies and 2 large smoothies

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?

• 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 $50 plus $0.20 per mile driven. If a customer paid $70 for their rental, how many miles did they drive?

• 100 miles

• 150 miles

• 50 miles

• 200 miles

Two friends, Alex and Jamie, are collecting stickers. Alex has twice as many stickers as Jamie. If together they have 36 stickers, how many stickers does each friend have?

• Alex has 30 stickers, Jamie has 6 stickers.

• Alex has 18 stickers, Jamie has 18 stickers.

• Alex has 24 stickers, Jamie has 12 stickers.

• Alex has 12 stickers, Jamie has 24 stickers.

A bakery sells muffins and cookies. If the total number of baked goods is 80 and the total revenue from selling them is $240, with muffins priced at $3 and cookies at $2, how many muffins and cookies were sold?

• 50 muffins and 30 cookies

• 80 muffins and 0 cookies

• 70 muffins and 10 cookies

• 60 muffins and 20 cookies

A gym offers two types of memberships: a monthly membership for $30 and a yearly membership for $300. If 40 memberships were sold for a total of $900, how many monthly and yearly memberships were sold?

• 30 monthly memberships and 10 yearly memberships

• 25 monthly memberships and 15 yearly memberships

• 20 monthly memberships and 20 yearly memberships

• 35 monthly memberships and 5 yearly memberships

A bookstore sells novels for $12 and magazines for $5. If a customer buys a total of 15 items and spends $120, how many novels and magazines did they buy?

• 5 novels and 10 magazines

• 4 novels and 11 magazines

• 7 novels and 8 magazines

• 6 novels and 9 magazines