Solving Real-World Systems: Variables & Substitution

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 did they sell?

• 35 adult tickets and 15 student tickets

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 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. Set up a system of equations to find out how much each person has.

• John has $50 and Maria has $70.

• John has $60 and Maria has $80.

• John has $40 and Maria has $60.

• John has $30 and 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?

• 15 chickens and 15 cows

• 25 chickens and 5 cows

• 10 chickens and 20 cows

• 20 chickens and 10 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?

• 6 novels and 4 magazines

• 4 novels and 6 magazines

• 3 novels and 7 magazines

• 5 novels and 5 magazines

Two friends, Alex and Jamie, are collecting stamps. Alex has 5 more stamps than Jamie. Together, they have 45 stamps. Set up a system of equations to find out how many stamps each has.

• Alex has 10 stamps and Jamie has 35 stamps.

• Alex has 20 stamps and Jamie has 25 stamps.

• Alex has 30 stamps and Jamie has 15 stamps.

• Alex has 25 stamps and Jamie has 20 stamps.

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

• 200 miles

• 150 miles

• 100 miles

• 50 miles

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 15 fruits for $25, how many apples and bananas did they buy?

• 5 apples and 10 bananas

• 10 apples and 5 bananas

• 8 apples and 7 bananas

• 12 apples and 3 bananas

A gym has two types of memberships: a monthly membership for $30 and a yearly membership for $300. If a total of 50 memberships were sold for $1200, how many of each type were sold?

• 25 monthly memberships and 25 yearly memberships

• 20 monthly memberships and 30 yearly memberships

• 15 monthly memberships and 35 yearly memberships

• 10 monthly memberships and 40 yearly memberships

A local bakery sells cupcakes for $3 each and cookies for $2 each. If they sold a total of 100 items for $240, how many cupcakes and cookies did they sell?

• 30 cupcakes and 70 cookies

• 50 cupcakes and 50 cookies

• 40 cupcakes and 60 cookies

• 20 cupcakes and 80 cookies

In a class, the number of boys is twice the number of girls. If there are 36 students in total, how many boys and girls are in the class?

• 18 girls and 18 boys

• 30 girls and 6 boys

• 12 girls and 24 boys

• 24 girls and 12 boys