Real-World Systems of Equations: Solve & Apply!

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 $350, how many adult and student tickets were sold?

• 25 adult tickets and 25 student tickets

• 20 adult tickets and 30 student tickets

• 15 adult tickets and 35 student tickets

• 10 adult tickets and 40 student tickets

Maria and John are saving money for a new bike. Maria saves $15 a week, while John 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?

• 5 weeks

• 7 weeks

• 8 weeks

• 6 weeks

A farmer has chickens and cows. If there are a total of 30 animals and 100 legs, how many chickens and cows does the farmer have?

• 15 chickens and 15 cows

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 5 chickens and 25 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 8 items for $66, how many novels and magazines did they buy?

• 4 novels and 4 magazines

• 3 novels and 5 magazines

• 2 novels and 6 magazines

• 1 novel and 7 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?

• 100 miles

• 50 miles

• 150 miles

• 200 miles

Two friends, Alex and Jamie, are collecting coins. Alex has twice as many coins as Jamie. If together they have 60 coins, how many coins does each friend have?

• Alex has 20 coins and Jamie has 40 coins.

• Alex has 30 coins and Jamie has 30 coins.

• Alex has 50 coins and Jamie has 10 coins.

• Alex has 40 coins and Jamie has 20 coins.

A concert hall has two types of seating: regular seats and VIP seats. Regular seats cost $20 each and VIP seats cost $50 each. If 200 seats were sold for a total of $8000, how many of each type of seat were sold?

• 200 regular seats and 0 VIP seats were sold.

• 150 regular seats and 50 VIP seats were sold.

• 80 regular seats and 120 VIP seats were sold.

• 100 regular seats and 100 VIP seats were sold.

A bakery sells two types of cakes: chocolate and vanilla. A chocolate cake costs $15 and a vanilla cake costs $10. If the bakery sold 30 cakes for a total of $400, how many of each type of cake did they sell?

• 10 chocolate cakes and 20 vanilla cakes

• 15 chocolate cakes and 15 vanilla cakes

• 25 chocolate cakes and 5 vanilla cakes

• 20 chocolate cakes and 10 vanilla cakes

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 20 fruits for $30, how many apples and bananas did they buy?

• 10 apples and 10 bananas

• 12 apples and 8 bananas

• 5 apples and 15 bananas

• 15 apples and 5 bananas

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

• 20 monthly memberships and 30 yearly memberships

• 10 monthly memberships and 40 yearly memberships

• 25 monthly memberships and 25 yearly memberships

• 15 monthly memberships and 35 yearly memberships