8th 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 of each type of ticket were sold? Use substitution method.

• 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? Use elimination method.

• John has $50, Maria has $70

• John has $40, Maria has $60

• John has $60, Maria has $80

• John has $30, Maria has $50

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? Use substitution method.

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 25 chickens and 5 cows

• 15 chickens and 15 cows

In a bookstore, the price of a novel is $15 and the price of a magazine is $5. If a customer buys a total of 10 items for $100, how many novels and magazines did they buy? Use elimination method.

• 3 novels and 7 magazines

• 4 novels and 6 magazines

• 6 novels and 4 magazines

• 5 novels and 5 magazines

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? Use substitution method.

• 100 miles

• 50 miles

• 150 miles

• 200 miles

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

• Alex has 20 stamps and Jamie has 25 stamps.

• Alex has 25 stamps and Jamie has 20 stamps.

• Alex has 30 stamps and Jamie has 15 stamps.

• Alex has 10 stamps and Jamie has 35 stamps.

A gym offers two types of memberships: a monthly membership for $30 and a yearly membership for $300. If a customer spends $600 on memberships, how many of each type did they purchase? Use substitution method.

• 3 monthly, 1 yearly

• 1 monthly, 5 yearly

• 0 monthly, 2 yearly or 10 monthly, 0 yearly

• 5 monthly, 1 yearly

A bakery sells cupcakes for $2 each and cookies for $1 each. If they sold a total of 100 items for $150, how many cupcakes and cookies were sold? Use elimination method.

• 60 cupcakes and 40 cookies

• 50 cupcakes and 50 cookies

• 40 cupcakes and 60 cookies

• 30 cupcakes and 70 cookies

In a fruit market, apples cost $3 each and bananas cost $2 each. If a customer buys a total of 20 fruits for $50, how many apples and bananas did they buy? Use substitution method.

• 12 apples and 8 bananas

• 10 apples and 10 bananas

• 8 apples and 12 bananas

• 5 apples and 15 bananas

A movie theater has two types of seats: regular seats for $12 and VIP seats for $20. If they sold a total of 100 seats for $1,200, how many of each type of seat were sold? Use elimination method.

• 100 regular seats and 0 VIP seats

• 80 regular seats and 20 VIP seats

• 50 regular seats and 50 VIP seats

• 70 regular seats and 30 VIP seats