Analyzing Real-World Systems of Equations for 9th Graders

A local bakery sells cupcakes and cookies. The total number of items sold in one day was 50. If the number of cupcakes sold was twice the number of cookies, how many cupcakes and cookies were sold?

• 40 cupcakes and 10 cookies

• 25 cupcakes and 25 cookies

• 30 cupcakes and 20 cookies

• 15 cupcakes and 35 cookies

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Another company charges a flat fee of $20 plus $0.25 per mile. How many miles must you drive for the costs to be the same?

• 100 miles

• 200 miles

• 250 miles

• 150 miles

A school is planning a field trip. The cost for a bus is $200, and each student pays $10. If the total cost is $400, how many students are going on the trip?

• 30

• 25

• 15

• 20

Two friends are saving money for a concert. One saves $5 each week, while the other saves $10 each week. If they both start with $20, how many weeks will it take for their savings to be equal?

• 0 weeks

• 1 week

• 3 weeks

• 2 weeks

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

• 10 chickens and 20 cows

• 20 chickens and 10 cows

• 15 chickens and 15 cows

A movie theater sells adult and child tickets. The total number of tickets sold was 200, and the total revenue was $1,500. If adult tickets are $10 and child tickets are $5, how many of each type of ticket were sold?

• 80 adult tickets and 120 child tickets

• 120 adult tickets and 80 child tickets

• 100 adult tickets and 100 child tickets

• 150 adult tickets and 50 child tickets

A gym offers two membership plans. Plan A costs $40 per month, and Plan B costs $30 per month plus a one-time fee of $100. After how many months will the total cost of both plans be the same?

• 10 months

• 8 months

• 12 months

• 6 months

A bookstore sells fiction and non-fiction books. The total number of books sold is 120, and the total revenue is $1,200. If fiction books are sold for $15 each and non-fiction for $10 each, how many of each type were sold?

• 30 fiction books and 90 non-fiction books

• 100 fiction books and 20 non-fiction books

• 60 fiction books and 60 non-fiction books

• 0 fiction books and 120 non-fiction books

A concert venue has two types of seating: general admission and VIP. The total number of seats is 500, and the total revenue from ticket sales is $10,000. If general admission tickets are $15 and VIP tickets are $50, how many of each type of ticket were sold?

• 250 general admission tickets and 250 VIP tickets were sold.

• 400 general admission tickets and 100 VIP tickets were sold.

• 300 general admission tickets and 200 VIP tickets were sold.

• 450 general admission tickets and 50 VIP tickets were sold.

A charity event sells tickets for a dinner. Adult tickets are $25, and child tickets are $15. If 200 tickets were sold for a total of $4,000, how many adult and child tickets were sold?

• 200 adult tickets and 0 child tickets

• 80 adult tickets and 120 child tickets

• 100 adult tickets and 100 child tickets

• 150 adult tickets and 50 child tickets