Solving and Graphing Systems of Equations: Real-World Problems

A local bakery sells cupcakes and cookies. Each cupcake costs $2 and each cookie costs $1. If the bakery made $50 from selling 30 items, how many cupcakes and cookies did they sell?

• 20 cupcakes and 10 cookies

• 10 cupcakes and 20 cookies

• 15 cupcakes and 15 cookies

• 25 cupcakes and 5 cookies

A school is organizing a field trip. The cost of a ticket is $15 for students and $20 for adults. If they sold a total of 40 tickets for $600, how many student and adult tickets were sold?

• 10 student tickets and 30 adult tickets

• 20 student tickets and 20 adult tickets

• 40 student tickets and 0 adult tickets

• 30 student tickets and 10 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

• 3 weeks

• 7 weeks

A farmer has chickens and cows. If there are 20 animals in total and they have 56 legs, how many chickens and cows does the farmer have?

• 12 chickens and 8 cows

• 5 chickens and 15 cows

• 15 chickens and 5 cows

• 10 chickens and 10 cows

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

• 120 miles

• 100 miles

• 50 miles

In a fruit market, apples cost $3 each and bananas cost $2 each. If a customer bought a total of 15 fruits for $36, how many apples and bananas did they buy?

• 4 apples and 11 bananas

• 5 apples and 10 bananas

• 7 apples and 8 bananas

• 6 apples and 9 bananas

A bookstore sells novels for $10 each and magazines for $5 each. If a customer bought 12 items for a total of $80, how many novels and magazines did they purchase?

• 5 novels and 7 magazines

• 3 novels and 9 magazines

• 4 novels and 8 magazines

• 6 novels and 6 magazines

A gym offers two types of memberships: a monthly membership for $25 and a yearly membership for $250. If a total of 100 memberships were sold for $1,500, how many monthly and yearly memberships were sold?

• 70 monthly and 30 yearly memberships

• 80 monthly and 20 yearly memberships

• 50 monthly and 50 yearly memberships

• 94 monthly and 6 yearly memberships

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?

• 10 adult tickets and 40 child tickets

• 25 adult tickets and 25 child tickets

• 15 adult tickets and 35 child tickets

• 20 adult tickets and 30 child tickets

A pet store has dogs and cats for sale. If there are 18 pets in total and the total number of legs is 56, how many dogs and cats are there?

• 14 dogs and 4 cats

• 10 dogs and 8 cats

• 16 dogs and 2 cats

• 12 dogs and 6 cats