Solving Real-Life Linear Systems: Equations & Substitution

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 150 tickets for $1,200, how many adult and student tickets were sold?

• 80 adult tickets and 70 student tickets

• 60 adult tickets and 90 student tickets

• 90 adult tickets and 60 student tickets

• 100 adult tickets and 50 student tickets

Maria has a total of 50 coins made up of dimes and quarters. If the total value of the coins is $8.50, how many dimes and quarters does she have?

• 15 dimes and 35 quarters

• 30 dimes and 20 quarters

• 20 dimes and 30 quarters

• 26 dimes and 24 quarters

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50 for their rental, how many miles did they drive?

• 100 miles

• 50 miles

• 75 miles

• 120 miles

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $15 a week, while Jamie saves $10 a week. If they want to save a total of $150 together, how many weeks will it take for them to reach their goal?

• 7 weeks

• 5 weeks

• 6 weeks

• 8 weeks

A farmer has chickens and cows. If there are 20 animals in total and there are 56 legs, how many chickens and cows does the farmer have?

• 10 chickens and 10 cows

• 12 chickens and 8 cows

• 5 chickens and 15 cows

• 15 chickens and 5 cows

A bookstore sells fiction and non-fiction books. If the total number of books sold is 80 and the total revenue is $1,200, with fiction books priced at $15 and non-fiction at $10, how many of each type of book were sold?

• 70 fiction books and 10 non-fiction books

• 50 fiction books and 30 non-fiction books

• 80 fiction books and 0 non-fiction books

• 60 fiction books and 20 non-fiction books

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 30 fruits for $50, how many apples and bananas did they buy?

• 20 apples and 10 bananas

• 10 apples and 20 bananas

• 15 apples and 15 bananas

• 25 apples and 5 bananas

A gym offers two membership plans. Plan A costs $40 per month and Plan B costs $30 per month with a one-time fee of $50. If a customer paid $170 in total, how many months did they choose Plan A and Plan B?

• 2 months of Plan A and 2 months of Plan B

• 3 months of Plan A and 1 month of Plan B

• 1 month of Plan A and 3 months of Plan B

• 0 months of Plan A and 4 months of Plan B

A local bakery sells cupcakes and cookies. If they sold a total of 200 items and made $1,000, with cupcakes priced at $3 each and cookies at $2 each, how many cupcakes and cookies were sold?

• 150 cupcakes and 50 cookies

• 80 cupcakes and 120 cookies

• 100 cupcakes and 100 cookies

• 200 cupcakes and 0 cookies

A movie theater has two types of seats: regular and VIP. Regular seats cost $12 and VIP seats cost $20. If they sold a total of 100 seats for $1,600, how many regular and VIP seats were sold?

• 60 regular seats and 40 VIP seats

• 50 regular seats and 50 VIP seats

• 30 regular seats and 70 VIP seats

• 80 regular seats and 20 VIP seats