Solving and Graphing Systems of Equations Challenge

A local bakery sells cupcakes and cookies. The total number of baked goods sold in one day was 150. If the bakery sold twice as many cookies as cupcakes, how many of each were sold?

• 70 cupcakes and 80 cookies

• 40 cupcakes and 110 cookies

• 50 cupcakes and 100 cookies

• 60 cupcakes and 90 cookies

A school is planning a field trip. The cost of the bus is $200, and each student pays $10. If 30 students are going, how much money will be left after paying for the bus?

• $50

• $150

• $100

• $200

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

• 0 weeks

• 3 weeks

• 2 weeks

• 1 week

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70, how many miles did they drive?

• 200 miles

• 150 miles

• 100 miles

• 50 miles

A farmer has chickens and cows. If the total number of animals is 50 and there are 150 legs in total, how many chickens and cows does the farmer have?

• 25 chickens and 25 cows

• 30 chickens and 20 cows

• 20 chickens and 30 cows

• 15 chickens and 35 cows

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

• 200 adult tickets and 0 child tickets

• 100 adult tickets and 100 child tickets

• 50 adult tickets and 150 child tickets

• 150 adult tickets and 50 child tickets

A gym offers two membership plans. Plan A costs $30 per month, and Plan B costs $20 per month plus a one-time fee of $100. If a customer wants to spend no more than $200, how many months can they afford each plan?

• Plan A: 3 months, Plan B: 8 months

• Plan A: 6 months, Plan B: 5 months

• Plan A: 5 months, Plan B: 6 months

• Plan A: 4 months, Plan B: 7 months

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

• 30 fiction books and 90 non-fiction books

• 60 fiction books and 60 non-fiction books

• 0 fiction books and 120 non-fiction books

• 100 fiction books and 20 non-fiction books

A concert venue has two types of tickets: VIP and regular. If the total number of tickets sold is 300 and the total revenue is $4,500, with VIP tickets priced at $25 and regular tickets at $15, how many of each type were sold?

• 0 VIP tickets and 300 regular tickets

• 150 VIP tickets and 150 regular tickets

• 100 VIP tickets and 200 regular tickets

• 50 VIP tickets and 250 regular tickets

A charity event sold tickets for $20 each and received a total of $1,200. If they also received a donation of $300, how many tickets were sold?

• 50

• 45

• 30

• 60