Solving Real-World Problems: Systems of Equations

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 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 new bike. Maria has $20 more than John. Together, they have $120. How much money does each person have?

• John has $60 and Maria has $80.

• John has $30 and Maria has $90.

• John has $50 and Maria has $70.

• John has $40 and Maria has $60.

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?

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 25 chickens and 5 cows

• 15 chickens and 15 cows

In a bookstore, the total number of fiction and non-fiction books is 150. Fiction books cost $8 each, and non-fiction books cost $12 each. If the total revenue from selling all the books is $1,200, how many of each type of book are there?

• 100 fiction books, 50 non-fiction books

• 120 fiction books, 30 non-fiction books

• 150 fiction books, 0 non-fiction books

• 75 fiction books, 75 non-fiction books

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?

• 200 miles

• 150 miles

• 50 miles

• 100 miles

Two friends, Alex and Jamie, are collecting stickers. Alex has 5 more stickers than Jamie. Together, they have 45 stickers. How many stickers does each friend have?

• Alex has 25 stickers, Jamie has 20 stickers.

• Alex has 10 stickers, Jamie has 35 stickers.

• Alex has 20 stickers, Jamie has 25 stickers.

• Alex has 30 stickers, Jamie has 15 stickers.

A concert hall has two types of seats: regular seats and VIP seats. Regular seats cost $50 each, and VIP seats cost $100 each. If the total revenue from selling 200 seats is $12,000, how many regular and VIP seats were sold?

• 150 regular seats and 50 VIP seats

• 100 regular seats and 100 VIP seats

• 160 regular seats and 40 VIP seats

• 180 regular seats and 20 VIP seats

A bakery sells two types of pastries: muffins and croissants. Muffins cost $2 each, and croissants cost $3 each. If the bakery sold a total of 100 pastries for $240, how many muffins and croissants were sold?

• 50 muffins and 50 croissants

• 70 muffins and 30 croissants

• 60 muffins and 40 croissants

• 80 muffins and 20 croissants

In a sports league, Team A won 3 more games than Team B. If the total number of games won by both teams is 27, how many games did each team win?

• Team A won 14 games and Team B won 13 games.

• Team A won 15 games and Team B won 12 games.

• Team A won 10 games and Team B won 17 games.

• Team A won 16 games and Team B won 11 games.

A movie theater has two types of tickets: adult tickets for $12 and child tickets for $8. If the theater sold a total of 100 tickets for $960, how many adult and child tickets were sold?

• 40 adult tickets and 60 child tickets

• 50 adult tickets and 50 child tickets

• 30 adult tickets and 70 child tickets

• 20 adult tickets and 80 child tickets