Solving Real-World Systems: Word Problems & Variables

A school is selling tickets for a play. Adult tickets cost $10 each and student tickets cost $5 each. 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

• 15 adult tickets and 35 student tickets

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

Maria and John are saving money for a concert. Maria saves $15 each week, while John saves $10 each week. If Maria has saved $90 more than John after a certain number of weeks, how many weeks have they been saving?

• 18 weeks

• 30 weeks

• 24 weeks

• 12 weeks

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

• 5 chickens and 15 cows

• 15 chickens and 5 cows

• 10 chickens and 10 cows

• 12 chickens and 8 cows

In a bookstore, the price of a novel is $12 and the price of a magazine is $5. If a customer buys a total of 10 items for $80, how many novels and magazines did they buy?

• 3 novels and 7 magazines

• 2 novels and 8 magazines

• 4 novels and 6 magazines

• 5 novels and 5 magazines

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?

• 75 miles

• 120 miles

• 50 miles

• 100 miles

Two friends, Alex and Jamie, are collecting cans for recycling. Alex collects 3 cans for every 2 cans Jamie collects. If together they have collected 40 cans, how many cans did each collect?

• Alex collected 15 cans, Jamie collected 25 cans.

• Alex collected 30 cans, Jamie collected 10 cans.

• Alex collected 20 cans, Jamie collected 20 cans.

• Alex collected 24 cans, Jamie collected 16 cans.

A gym offers two types of memberships: a monthly membership for $25 and a yearly membership for $250. If a total of 100 memberships were sold for $2,500, how many of each type were sold?

• 75 monthly memberships and 25 yearly memberships

• 100 monthly memberships and 0 yearly memberships

• 50 monthly memberships and 50 yearly memberships

• 0 monthly memberships and 100 yearly memberships

A 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?

• 20 cupcakes and 80 cookies

• 40 cupcakes and 60 cookies

• 30 cupcakes and 70 cookies

• 50 cupcakes and 50 cookies

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?

• 15 apples and 15 bananas

• 20 apples and 10 bananas

• 25 apples and 5 bananas

• 10 apples and 20 bananas

A movie theater has two types of seats: regular seats for $8 and premium seats for $12. If they sold a total of 100 seats for $960, how many regular and premium seats were sold?

• 80 regular seats and 20 premium seats

• 60 regular seats and 40 premium seats

• 50 regular seats and 50 premium seats

• 70 regular seats and 30 premium seats