7th Grade Systems of Equations: Substitution & Elimination

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?

• 40 adult tickets and 10 student tickets

• 20 adult tickets and 30 student tickets

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

Maria and John are saving money for a video game. Maria has $20 and saves $5 each week, while John has $10 and saves $10 each week. How many weeks will it take for them to have the same amount of money?

• 2 weeks

• 4 weeks

• 3 weeks

• 1 week

A farmer has chickens and cows. If 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

• 15 chickens and 15 cows

• 10 chickens and 20 cows

In a bookstore, the total number of fiction and non-fiction books is 120. If fiction books cost $15 each and non-fiction books cost $20 each, and the total sales amount to $2,000, how many of each type of book were sold?

• 80 fiction books and 40 non-fiction books

• 60 fiction books and 60 non-fiction books

• 90 fiction books and 30 non-fiction books

• 70 fiction books and 50 non-fiction books

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70, how many miles did they drive?

• 50 miles

• 100 miles

• 150 miles

• 200 miles

Two friends, Alex and Sam, are collecting stickers. Alex has 10 stickers and collects 3 more each week, while Sam has 5 stickers and collects 5 more each week. After how many weeks will they have the same number of stickers?

• 5 weeks

• 2 weeks

• 3 weeks

• 4 weeks

A concert hall has two types of seats: regular seats and VIP seats. If there are 200 seats in total and the total revenue from ticket sales is $3,000, with regular seats costing $10 and VIP seats costing $20, how many of each type of seat were sold?

• 50 regular seats and 150 VIP seats

• 100 regular seats and 100 VIP seats

• 200 regular seats and 0 VIP seats

• 150 regular seats and 50 VIP seats

A bakery sells muffins and cookies. If the total number of baked goods sold is 100 and the total revenue is $250, with muffins priced at $2 each and cookies at $3 each, how many muffins and cookies were sold?

• 30 muffins and 70 cookies

• 50 muffins and 50 cookies

• 25 muffins and 75 cookies

• 60 muffins and 40 cookies

In a gym, there are two types of memberships: monthly and yearly. If there are 150 members in total and the total revenue from memberships is $3,600, with monthly memberships costing $30 and yearly memberships costing $300, how many of each type of membership are there?

• Monthly memberships: 138, Yearly memberships: 12

• Monthly memberships: 120, Yearly memberships: 30

• Monthly memberships: 100, Yearly memberships: 50

• Monthly memberships: 75, Yearly memberships: 75

A pet store has dogs and cats. If there are 40 pets in total and the total number of legs is 120, how many dogs and cats are in the store?

• 15 dogs and 25 cats

• 20 dogs and 20 cats

• 5 dogs and 35 cats

• 10 dogs and 30 cats