Solving and Graphing Systems of Equations Challenge

A local bakery sells cupcakes and cookies. Each cupcake costs $2 and each cookie costs $1. If the bakery made $50 from selling 20 items, how many cupcakes and cookies did they sell?

• 15 cupcakes and 5 cookies

• 20 cupcakes and 0 cookies

• 5 cupcakes and 15 cookies

• 10 cupcakes and 10 cookies

A school is organizing a field trip. The cost of a ticket is $15 for students and $10 for adults. If they sold a total of 30 tickets for $360, how many student and adult tickets were sold?

• 5 student tickets and 25 adult tickets

• 15 student tickets and 15 adult tickets

• 10 student tickets and 20 adult tickets

• 12 student tickets and 18 adult tickets

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $5 a week and Jamie saves $3 a week. If they want to save a total of $50 together, how many weeks will it take for them to reach their goal?

• 5 weeks

• 10 weeks

• 7 weeks

• 3 weeks

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50 for their rental, how many miles did they drive?

• 75 miles

• 50 miles

• 100 miles

• 120 miles

A farmer has chickens and cows. If there are 30 animals in total and there are 80 legs, how many chickens and cows does the farmer have?

• 20 chickens and 10 cows

• 5 chickens and 25 cows

• 15 chickens and 15 cows

• 10 chickens and 20 cows

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

• 20 adult tickets and 30 child tickets

• 25 adult tickets and 25 child tickets

• 15 adult tickets and 35 child tickets

• 10 adult tickets and 40 child tickets

A gym offers two types of memberships: a monthly membership for $25 and a yearly membership for $250. If they sold a total of 100 memberships for $2,500, how many monthly and yearly memberships were sold?

• 100 monthly memberships and 0 yearly memberships

• 50 monthly memberships and 50 yearly memberships

• 75 monthly memberships and 25 yearly memberships

• 0 monthly memberships and 100 yearly memberships

A bookstore sells novels for $10 and magazines for $5. If they sold a total of 60 items for $400, how many novels and magazines were sold?

• 25 novels and 35 magazines

• 30 novels and 30 magazines

• 20 novels and 40 magazines

• 10 novels and 50 magazines

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

• 160 regular seats and 40 VIP seats

• 150 regular seats and 50 VIP seats

• 180 regular seats and 20 VIP seats

• 100 regular seats and 100 VIP seats

A pet store has dogs and cats. If there are 40 pets in total and there are 100 legs, how many dogs and cats does the pet store have?

• 5 dogs and 35 cats

• 10 dogs and 30 cats

• 20 dogs and 20 cats

• 15 dogs and 25 cats