Solving Real-World Systems of Equations: Grade 8 Challenge

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

• 4 cupcakes and 6 cookies

• 5 cupcakes and 5 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 the costs to be the same?

• 75 miles

• 50 miles

• 120 miles

• 100 miles

Two friends are saving money to buy a video game. Friend A saves $5 a week, while Friend B saves $3 a week. If Friend A starts with $10 and Friend B starts with $20, how many weeks will it take for them to have the same amount of money?

• 10 weeks

• 3 weeks

• 5 weeks

• 7 weeks

A school is selling tickets for a play. Adult tickets cost $8 and student tickets cost $5. If they sold a total of 50 tickets for $320, how many adult and student tickets were sold?

• 25 adult tickets and 25 student tickets

• 15 adult tickets and 35 student tickets

• 10 adult tickets and 40 student tickets

• 20 adult tickets and 30 student tickets

A gardener is planting flowers and shrubs. Each flower costs $3 and each shrub costs $5. If the gardener spends $60 and plants a total of 20 plants, how many flowers and shrubs did they plant?

• 10 flowers and 10 shrubs

• 5 flowers and 15 shrubs

• 20 flowers and 0 shrubs

• 15 flowers and 5 shrubs

A concert venue has two types of seating: regular seats for $50 and VIP seats for $100. If they sold a total of 200 tickets for $12,000, how many regular and VIP tickets were sold?

• 160 regular tickets and 40 VIP tickets

• 150 regular tickets and 50 VIP tickets

• 180 regular tickets and 20 VIP tickets

• 100 regular tickets and 100 VIP tickets

A bookstore sells novels for $12 and magazines for $5. If a customer buys a total of 15 items for $120, how many novels and magazines did they buy?

• 7 novels and 8 magazines

• 5 novels and 10 magazines

• 4 novels and 11 magazines

• 6 novels and 9 magazines

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 $60. How many months must you stay with Plan A for it to be cheaper than Plan B?

• 6

• 4

• 8

• 10

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 a total of 30 animals and produces 100 liters of milk and eggs combined, how many chickens and cows does the farmer have?

• 20 chickens and 10 cows

• 15 chickens and 15 cows

• 10 chickens and 20 cows

• 16 chickens and 14 cows

A pizza shop sells small pizzas for $10 and large pizzas for $15. If they sold a total of 40 pizzas for $500, how many small and large pizzas were sold?

• 10 small pizzas and 30 large pizzas

• 20 small pizzas and 20 large pizzas

• 30 small pizzas and 10 large pizzas

• 25 small pizzas and 15 large pizzas