Solving Real-World Systems of Equations for Grade 8

A local bakery sells cookies and muffins. The cost of cookies is $2 each and muffins are $3 each. If the bakery sold a total of 50 items for $120, write a system of equations to represent this situation and solve for the number of cookies and muffins sold.

• 25 cookies and 25 muffins

• 30 cookies and 20 muffins

• 15 cookies and 35 muffins

• 40 cookies and 10 muffins

A school is organizing a field trip. The cost of a bus is $150 and each student pays $10. If 30 students are going, write a system of equations to find out how many buses are needed and the total cost of the trip.

• 1 bus, total cost $150

• 4 buses, total cost $600

• 2 buses, total cost $300

• 3 buses, total cost $450

A farmer has chickens and cows. The total number of animals is 40, and there are 100 legs in total. Write a system of equations to represent this situation and solve for the number of chickens and cows.

• 20 chickens and 20 cows

• 30 chickens and 10 cows

• 25 chickens and 15 cows

• 35 chickens and 5 cows

A concert hall has two types of tickets: regular tickets for $50 and VIP tickets for $100. If 200 tickets were sold for a total of $12,000, write a system of equations to find out how many of each type of ticket were sold.

• x + y = 200; 50x + 150y = 12000

• x + y = 200; 50x + 100y = 12000

• x + y = 250; 50x + 100y = 13000

• x + y = 150; 50x + 100y = 10000

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $90, write a system of equations to determine how many miles were driven.

• 300 miles

• 250 miles

• 200 miles

• 150 miles

A bookstore sells novels for $15 and textbooks for $25. If a customer bought a total of 10 books for $200, write a system of equations to find out how many novels and textbooks were purchased.

• 5 novels and 5 textbooks

• 6 novels and 4 textbooks

• 4 novels and 6 textbooks

• 3 novels and 7 textbooks

A gym offers two types of memberships: a monthly membership for $40 and a yearly membership for $400. If 50 memberships were sold for a total of $1,800, write a system of equations to find out how many monthly and yearly memberships were sold.

• 35 monthly memberships and 15 yearly memberships were sold.

• 30 monthly memberships and 20 yearly memberships were sold.

• 40 monthly memberships and 10 yearly memberships were sold.

• 25 monthly memberships and 25 yearly memberships were sold.

A movie theater sells adult tickets for $12 and child tickets for $8. If they sold a total of 100 tickets for $960, write a system of equations to find out how many adult and child tickets were sold.

• 30 adult tickets and 70 child tickets

• 40 adult tickets and 60 child tickets

• 20 adult tickets and 80 child tickets

• 50 adult tickets and 50 child tickets

A charity event sold raffle tickets for $5 each and VIP tickets for $20 each. If they sold a total of 150 tickets for $1,200, write a system of equations to find out how many raffle and VIP tickets were sold.

• 120 raffle tickets and 30 VIP tickets were sold.

• 90 raffle tickets and 60 VIP tickets were sold.

• 100 raffle tickets and 50 VIP tickets were sold.

• 130 raffle tickets and 20 VIP tickets were sold.

A company produces two types of gadgets: Type A and Type B. Type A costs $10 to produce and Type B costs $15. If the company produced a total of 100 gadgets for $1,200, write a system of equations to find out how many of each type were produced.

• 50 Type A gadgets and 50 Type B gadgets

• 70 Type A gadgets and 30 Type B gadgets

• 80 Type A gadgets and 20 Type B gadgets

• 60 Type A gadgets and 40 Type B gadgets