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 50 tickets for $400, how many adult and student tickets were sold?

• 30 adult tickets and 20 student tickets

• 40 adult tickets and 10 student tickets

• 25 adult tickets and 25 student tickets

• 15 adult tickets and 35 student tickets

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

• 7 weeks

• 5 weeks

• 8 weeks

• 6 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 how many cows does the farmer have?

• 10 chickens and 10 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

• 5 chickens and 15 cows

In a bookstore, a novel costs $12 and a magazine costs $5. If a customer buys a total of 10 items and spends $90, how many novels and magazines did they buy?

• 6 novels and 4 magazines

• 5 novels and 5 magazines

• 4 novels and 6 magazines

• 3 novels and 7 magazines

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

• Alex has 12 stamps and Jamie has 24 stamps.

• Alex has 18 stamps and Jamie has 18 stamps.

• Alex has 24 stamps and Jamie has 12 stamps.

• Alex has 30 stamps and Jamie has 6 stamps.

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

• 150 miles

• 200 miles

• 50 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 100 seats were sold for a total of $4000, how many of each type of seat were sold?

• 60 regular seats and 40 VIP seats

• 80 regular seats and 20 VIP seats

• 70 regular seats and 30 VIP seats

• 50 regular seats and 50 VIP seats

In a fruit market, apples cost $2 each and oranges cost $3 each. If a customer buys a total of 15 fruits and spends $36, how many apples and oranges did they buy?

• 8 apples and 7 oranges

• 9 apples and 6 oranges

• 7 apples and 8 oranges

• 10 apples and 5 oranges

A local gym offers two membership plans. Plan A costs $25 per month, and Plan B costs $40 per month. If 30 members choose Plan A and 20 members choose Plan B, what is the total monthly income from memberships?

• $600

• 1550

• $800

• $1200

A bakery sells cupcakes for $3 each and cookies for $2 each. If they sold a total of 100 items and made $240, how many cupcakes and cookies did they sell?

• 50 cupcakes and 50 cookies

• 40 cupcakes and 60 cookies

• 20 cupcakes and 80 cookies

• 30 cupcakes and 70 cookies