Solving Real-World Problems: Systems of Equations

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 150 tickets for $1,200, how many adult and student tickets were sold?

• 90 adult tickets and 60 student tickets

• 60 adult tickets and 90 student tickets

• 100 adult tickets and 50 student tickets

• 80 adult tickets and 70 student tickets

Maria and John are saving money for a new bike. Maria saves $15 a week, while John saves $10 a week. If together they want to save $150, how many weeks will it take for them to reach their goal?

• 6 weeks

• 5 weeks

• 7 weeks

• 8 weeks

A farmer has chickens and cows. If there are 20 animals in total and they have 60 legs, how many chickens and cows does the farmer have?

• 12 chickens and 8 cows

• 5 chickens and 15 cows

• 10 chickens and 10 cows

• 15 chickens and 5 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?

• 5 novels and 5 magazines

• 3 novels and 7 magazines

• 4 novels and 6 magazines

• 2 novels and 8 magazines

Two friends, Alex and Sam, are collecting coins. Alex has twice as many coins as Sam. If together they have 36 coins, how many coins does each friend have?

• Alex has 20 coins and Sam has 16 coins.

• Alex has 30 coins and Sam has 6 coins.

• Alex has 18 coins and Sam has 18 coins.

• Alex has 24 coins and Sam has 12 coins.

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

• 200 miles

• 100 miles

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?

• 10 apples and 20 bananas

• 15 apples and 15 bananas

• 25 apples and 5 bananas

• 20 apples and 10 bananas

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?

• 50 VIP tickets and 150 regular tickets

• 20 VIP tickets and 180 regular tickets

• 40 VIP tickets and 160 regular tickets

• 30 VIP tickets and 170 regular tickets

A local gym offers two membership plans. Plan A costs $30 per month and Plan B costs $20 per month. If 100 members signed up and the total revenue was $2,400, how many members chose each plan?

• 20 members chose Plan A and 80 members chose Plan B.

• 30 members chose Plan A and 70 members chose Plan B.

• 40 members chose Plan A and 60 members chose Plan B.

• 50 members chose Plan A and 50 members chose Plan B.

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

• 50 cupcakes and 50 cookies

• 30 cupcakes and 70 cookies