Solving Real-Life Linear Systems: Equations & Strategies

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

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

Maria has a total of 30 coins consisting of dimes and quarters. If the total value of the coins is $5.50, how many dimes and how many quarters does she have?

• 10 dimes and 20 quarters

• Maria has 13 dimes and 17 quarters.

• 15 dimes and 15 quarters

• 5 dimes and 25 quarters

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 how many cows does the farmer have?

• 5 chickens and 15 cows

• 15 chickens and 5 cows

• 10 chickens and 10 cows

• 12 chickens and 8 cows

Two friends, Alex and Jamie, are collecting stamps. Alex has 3 times as many stamps as Jamie. Together, they have 80 stamps. How many stamps does each friend have?

• Alex has 50 stamps, Jamie has 30 stamps.

• Alex has 70 stamps, Jamie has 10 stamps.

• Alex has 60 stamps, Jamie has 20 stamps.

• Alex has 40 stamps, Jamie has 40 stamps.

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

• 250 miles

• 100 miles

• 150 miles

• 200 miles

In a fruit basket, there are apples and oranges. The total number of fruits is 40, and there are 3 times as many apples as oranges. How many apples and oranges are in the basket?

• 30 apples and 10 oranges

• 25 apples and 15 oranges

• 20 apples and 20 oranges

• 35 apples and 5 oranges

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

• 8 fiction and 2 non-fiction books

• 5 fiction and 5 non-fiction books

• 7 fiction and 3 non-fiction books

• 6 fiction and 4 non-fiction books

A concert hall has two types of seating: regular and VIP. Regular seats cost $25 each, and VIP seats cost $50 each. If 200 seats were sold for a total of $7,500, how many regular and VIP seats were sold?

• 150 regular seats and 50 VIP seats were sold.

• 100 regular seats and 100 VIP seats were sold.

• 200 regular seats and 0 VIP seats were sold.

• 50 regular seats and 150 VIP seats were sold.

In a class, the ratio of boys to girls is 2:3. If there are 30 students in total, how many boys and how many girls are in the class?

• 12 boys and 18 girls

• 5 boys and 25 girls

• 15 boys and 15 girls

• 10 boys and 20 girls

A local bakery sells muffins and cookies. Muffins cost $2 each, and cookies cost $1 each. If a customer buys a total of 15 items for $24, how many muffins and cookies did they buy?

• 10 muffins and 5 cookies

• 7 muffins and 8 cookies

• 9 muffins and 6 cookies

• 8 muffins and 7 cookies