Solving Real-World Problems with 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 150 tickets for $1,200, how many adult and student tickets were sold?

• 80 adult tickets and 70 student tickets

• 100 adult tickets and 50 student tickets

• 60 adult tickets and 90 student tickets

• 90 adult tickets and 60 student tickets

Maria and John are saving money for a new bike. Maria saves $15 each week, while John saves $10 each week. If they want to save a total of $300 together, how many weeks will it take for both of them to reach their goal?

• 20 weeks

• 15 weeks

• 10 weeks

• 12 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?

• 10 chickens and 10 cows

• 5 chickens and 15 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

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

• 2 novels and 8 magazines

• 4 novels and 6 magazines

• 5 novels and 5 magazines

• 3 novels and 7 magazines

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

• Alex has 18 cards and Sam has 18 cards.

• Alex has 12 cards and Sam has 24 cards.

• Alex has 24 cards and Sam has 12 cards.

• Alex has 30 cards and Sam has 6 cards.

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?

• 150 miles

• 50 miles

• 200 miles

• 100 miles

A concert hall has two types of seating: regular seats and VIP seats. Regular seats cost $30 each, and VIP seats cost $50 each. If 200 seats were sold for a total of $7,000, how many regular and VIP seats were sold?

• 150 regular seats and 50 VIP seats

• 100 regular seats and 100 VIP seats

• 50 regular seats and 150 VIP seats

• 200 regular seats and 0 VIP seats

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 15 fruits for $24, how many apples and bananas did they buy?

• 10 apples and 5 bananas

• 8 apples and 7 bananas

• 9 apples and 6 bananas

• 7 apples and 8 bananas

A gym has two types of memberships: monthly and yearly. A monthly membership costs $30, while a yearly membership costs $300. If a total of 50 memberships were sold for $1,200, how many monthly and yearly memberships were sold?

• 30 monthly and 20 yearly memberships

• 40 monthly and 10 yearly memberships

• 50 monthly and 0 yearly memberships

• 46 monthly and 4 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?

• 40 cupcakes and 60 cookies

• 50 cupcakes and 50 cookies

• 30 cupcakes and 70 cookies

• 20 cupcakes and 80 cookies