Systems of Equations: Real-World Problem Solving for 8th Graders

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?

• 40 adult tickets and 10 student tickets

• 20 adult tickets and 30 student tickets

• 25 adult tickets and 25 student tickets

• 30 adult tickets and 20 student tickets

Maria and John are saving money for a concert. Maria has $20 more than John. Together, they have $120. How much money does each person have?

• John has $40 and Maria has $60.

• John has $60 and Maria has $80.

• John has $50 and Maria has $70.

• John has $30 and Maria has $90.

A farmer has chickens and cows. The total number of animals is 30, and there are 80 legs in total. How many chickens and cows does the farmer have?

• 25 chickens and 5 cows

• 20 chickens and 10 cows

• 15 chickens and 15 cows

• 10 chickens and 20 cows

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?

• 5 novels and 5 magazines

• 3 novels and 7 magazines

• 4 novels and 6 magazines

• 6 novels and 4 magazines

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50 for their rental, how many miles did they drive?

• 50 miles

• 120 miles

• 75 miles

• 100 miles

Two friends, Alex and Jamie, are collecting stickers. Alex has 5 more stickers than Jamie. Together, they have 45 stickers. How many stickers does each friend have?

• Alex has 20 stickers and Jamie has 25 stickers.

• 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.

A restaurant sells burgers for $8 and fries for $3. If a customer spends $45 on 7 items, how many burgers and fries did they order?

• 4 burgers and 3 fries

• 6 burgers and 1 fry

• 3 burgers and 4 fries

• 5 burgers and 2 fries

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 15 fruits for $25, how many apples and bananas did they buy?

• 8 apples and 7 bananas

• 12 apples and 3 bananas

• 10 apples and 5 bananas

• 5 apples and 10 bananas

A gym has two types of memberships: monthly and yearly. A monthly membership costs $30, and a yearly membership costs $300. If a total of 20 memberships were sold for $1,200, how many of each type were sold?

• 5 monthly and 15 yearly memberships

• 15 monthly and 5 yearly memberships

• 12 monthly and 8 yearly memberships

• 10 monthly and 10 yearly memberships

A movie theater has two types of tickets: adult tickets for $12 and child tickets for $6. If they sold a total of 100 tickets for $960, how many adult and child tickets were sold?

• 50 adult tickets and 50 child tickets

• 80 adult tickets and 20 child tickets

• 70 adult tickets and 30 child tickets

• 60 adult tickets and 40 child tickets