Solving Real-World Systems of Equations for Grade 8

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?

• 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 video game. Maria has $20 more than John. If together they have $80, how much money does each person have?

• John has $40 and Maria has $40.

• John has $20 and Maria has $60.

• John has $25 and Maria has $55.

• John has $30 and Maria has $50.

A farmer has chickens and cows. If there are 30 animals in total and the number of chickens is twice the number of cows, how many chickens and cows does the farmer have?

• 5 cows and 25 chickens

• 12 cows and 18 chickens

• 10 cows and 20 chickens

• 15 cows and 15 chickens

In a bookstore, the price of a novel is $15 and the price of a magazine is $5. If a customer buys a total of 10 items for $100, how many novels and magazines did they buy?

• 6 novels and 4 magazines

• 4 novels and 6 magazines

• 3 novels and 7 magazines

• 5 novels and 5 magazines

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

• Alex has 10 stamps and Jamie has 35 stamps.

• Alex has 25 stamps and Jamie has 20 stamps.

• Alex has 30 stamps and Jamie has 15 stamps.

• Alex has 20 stamps and Jamie has 25 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?

• 150 miles

• 50 miles

• 100 miles

• 200 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 $8,000, how many of each type of seat were sold?

• 80 regular seats and 120 VIP seats

• 100 regular seats and 100 VIP seats

• 200 VIP seats and 0 regular seats

• 150 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 20 fruits for $50, how many apples and oranges did they buy?

• 5 apples and 15 oranges

• 12 apples and 8 oranges

• 10 apples and 10 oranges

• 0 apples and 20 oranges

A local gym offers two membership plans. Plan A costs $30 per month and Plan B costs $20 per month plus a one-time fee of $60. If a customer pays $120 in total, how many months did they use each plan?

• Plan A: 1 month, Plan B: 2 months

• Plan A: 3 months, Plan B: 0 months

• Plan A: 0 months, Plan B: 3 months

• Plan A: 2 months, Plan B: 1 month

A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys a total of 15 items and spends $36, how many cupcakes and cookies did they buy?

• 4 cupcakes and 11 cookies

• 6 cupcakes and 9 cookies

• 7 cupcakes and 8 cookies

• 5 cupcakes and 10 cookies