Real-Life Systems of Equations: Identify and Translate!

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

• 25 adult tickets and 25 student tickets

• 20 adult tickets and 30 student tickets

• 40 adult tickets and 10 student tickets

Maria and John are saving money for a concert. Maria has $20 more than John. Together, they have $120. How much money does each person have?

• John has $50 and Maria has $70.

• John has $40 and Maria has $60.

• John has $30 and Maria has $90.

• John has $60 and Maria has $80.

A farmer has chickens and cows. The total number of animals is 30, and there are 80 legs in total. How many chickens and cows does the farmer have?

• 25 chickens and 5 cows

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 15 chickens and 15 cows

Two friends are collecting stamps. Alice has 3 times as many stamps as Bob. Together, they have 64 stamps. How many stamps does each friend have?

• Alice has 56 stamps and Bob has 8 stamps.

• Alice has 32 stamps and Bob has 32 stamps.

• Alice has 40 stamps and Bob has 24 stamps.

• Alice has 48 stamps and Bob has 16 stamps.

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

• 12 fiction books and 8 non-fiction books

• 10 fiction books and 10 non-fiction books

• 5 fiction books and 15 non-fiction books

• 15 fiction books and 5 non-fiction books

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?

• 12 boys and 13 girls

• 20 boys and 5 girls

• 15 boys and 10 girls

• 10 boys and 15 girls

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?

• 120 miles

• 75 miles

• 100 miles

• 50 miles

A local gym offers two membership plans. Plan A costs $25 per month, and Plan B costs $15 per month plus a one-time fee of $60. If two members choose Plan A and one chooses Plan B, how much do they pay in total?

• $100

• $80

• $90

• 125

A bakery sells muffins and cookies. Muffins cost $2 each, and cookies cost $1 each. If a customer buys 10 items for $16, how many muffins and cookies did they buy?

• 7 muffins and 3 cookies

• 5 muffins and 5 cookies

• 4 muffins and 6 cookies

• 6 muffins and 4 cookies

A concert hall has two types of seating: regular and VIP. Regular seats cost $50, and VIP seats cost $100. If 200 seats were sold for a total of $12,000, how many of each type of seat were sold?

• 180 regular seats and 20 VIP seats

• 100 regular seats and 100 VIP seats

• 150 regular seats and 50 VIP seats

• 160 regular seats and 40 VIP seats