Solving Real-World Problems with Systems of Equations

A local bakery sells cupcakes and cookies. The cost of cupcakes is $2 each and cookies are $1 each. If a customer buys a total of 10 items for $16, how many cupcakes and cookies did they buy?

• 5 cupcakes and 5 cookies

• 4 cupcakes and 6 cookies

• 6 cupcakes and 4 cookies

• 7 cupcakes and 3 cookies

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Another company charges $25 plus $0.25 per mile. How many miles must you drive for both companies to cost the same?

• 100 miles

• 120 miles

• 50 miles

• 75 miles

A school is planning a field trip. The cost per student is $15 for a bus that holds 30 students and $12 for a bus that holds 40 students. If the total cost for both buses is $600, how many students are going on the trip?

• 60

• 50

• 80

• 70

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 a week, while Jamie saves $8 a week. If Alex has $20 saved already and Jamie has $12, how many weeks will it take for them to have the same amount saved?

• 5 weeks

• 3 weeks

• 4 weeks

• 2 weeks

A farmer has chickens and cows. Each chicken produces 2 eggs per week, and each cow produces 5 liters of milk per week. If the farmer has 10 chickens and 5 cows, how many total eggs and liters of milk does he produce in a week?

• 20 eggs and 25 liters of milk

• 25 eggs and 20 liters of milk

• 15 eggs and 30 liters of milk

• 10 eggs and 15 liters of milk

A movie theater sells adult tickets for $12 and child tickets for $8. If they sold a total of 50 tickets and made $480, how many adult and child tickets were sold?

• 10 adult tickets and 40 child tickets

• 20 adult tickets and 30 child tickets

• 25 adult tickets and 25 child tickets

• 15 adult tickets and 35 child tickets

A gym offers two membership plans. Plan A costs $30 per month and allows 5 classes, while Plan B costs $50 per month and allows unlimited classes. If a member attends 10 classes in a month, which plan is more cost-effective?

• Plan B is more cost-effective.

• Both plans cost the same.

• Plan A is cheaper for 10 classes.

• Plan A is more cost-effective.

A bookstore sells novels for $10 each and textbooks for $20 each. If a customer buys a total of 15 books for $200, how many novels and textbooks did they buy?

• 10 novels and 5 textbooks

• 5 novels and 10 textbooks

• 8 novels and 7 textbooks

• 12 novels and 3 textbooks

A delivery service charges a base fee of $5 plus $1.50 per mile. Another service charges a base fee of $3 plus $2 per mile. How far can you travel for $20 with each service before the costs are equal?

• 8.5 miles

• 10 miles

• 9 miles

• 7 miles

A school is selling tickets for a play. Adult tickets are $10 and student tickets are $5. If they sold a total of 100 tickets for $700, how many adult and student tickets were sold?

• 50 adult tickets and 50 student tickets

• 40 adult tickets and 60 student tickets

• 20 adult tickets and 80 student tickets

• 30 adult tickets and 70 student tickets