Real-Life Applications: Solving Systems of Equations

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 adult and student tickets were sold?

• 35 adult tickets and 15 student tickets

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 25 adult tickets and 25 student tickets

Maria and John are saving money for a new bike. Maria has $20 more than John. If together they have $120, how much money does each have?

• John has $40 and Maria has $60.

• John has $30 and Maria has $90.

• John has $60 and Maria has $80.

• John has $50 and Maria has $70.

A farmer has chickens and cows. If there are 30 animals in total and there are 10 more chickens than cows, how many chickens and cows does the farmer have?

• 15 cows and 15 chickens

• 5 cows and 25 chickens

• 10 cows and 20 chickens

• 20 cows and 10 chickens

In a bookstore, the price of a novel is $15 and a magazine is $5. If a customer buys a total of 8 items for $90, how many novels and magazines did they buy?

• 5 novels and 3 magazines

• 3 novels and 5 magazines

• 6 novels and 2 magazines

• 4 novels and 4 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?

• 50 miles

• 150 miles

• 100 miles

• 200 miles

Two friends, Alex and Jamie, are collecting stickers. Alex has 5 more stickers than Jamie. If together they have 45 stickers, how many stickers does each have?

• Alex has 10 stickers and Jamie has 35 stickers.

• Alex has 30 stickers and Jamie has 15 stickers.

• Alex has 25 stickers and Jamie has 20 stickers.

• Alex has 20 stickers and Jamie has 25 stickers.

A concert hall has two types of tickets: VIP tickets for $100 and regular tickets for $50. If 200 tickets were sold for a total of $12,000, how many VIP and regular tickets were sold?

• 60 VIP tickets and 140 regular tickets

• 30 VIP tickets and 170 regular tickets

• 50 VIP tickets and 150 regular tickets

• 40 VIP tickets and 160 regular tickets

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?

• 25 apples and 5 bananas

• 20 apples and 10 bananas

• 15 apples and 15 bananas

• 10 apples and 20 bananas

A gym has two types of memberships: monthly for $30 and yearly for $300. If 100 memberships were sold for a total of $2,700, how many monthly and yearly memberships were sold?

• 70 monthly memberships and 30 yearly memberships

• 80 monthly memberships and 20 yearly memberships

• 100 monthly memberships and 0 yearly memberships

• 91 monthly memberships and 9 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 were sold?

• 30 cupcakes and 70 cookies

• 50 cupcakes and 50 cookies

• 20 cupcakes and 80 cookies

• 40 cupcakes and 60 cookies