Solving Real-World Problems with Systems of Equations

A local bakery sells cupcakes for $2 each and cookies for $1.50 each. If they sold a total of 100 items and made $150, how many cupcakes and cookies did they sell?

• 25 cupcakes and 75 cookies

• 10 cupcakes and 90 cookies

• 50 cupcakes and 50 cookies

• 0 cupcakes and 100 cookies

A school is organizing a field trip. The cost of a bus is $300, and each student pays $15. If 20 students are going, how much more money do they need to raise to cover the bus cost?

• $150

• $300

• $45

• 0

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $10 a week, while Jamie saves $15 a week. If they want to save a total of $200 together, how many weeks will it take for them to reach their goal?

• 6 weeks

• 10 weeks

• 12 weeks

• 8 weeks

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

• 20 chickens and 10 cows

• 10 chickens and 20 cows

• 25 chickens and 5 cows

• 15 chickens and 15 cows

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

• 15 adult tickets and 35 child tickets

• 20 adult tickets and 30 child tickets

• 25 adult tickets and 25 child tickets

• 10 adult tickets and 40 child tickets

In a fruit market, apples cost $3 per pound and bananas cost $2 per pound. If a customer buys a total of 10 pounds of fruit for $24, how many pounds of each fruit did they buy?

• 5 pounds of apples and 5 pounds of bananas

• 4 pounds of apples and 6 pounds of bananas

• 3 pounds of apples and 7 pounds of bananas

• 2 pounds of apples and 8 pounds of bananas

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?

• 150 miles

• 50 miles

• 100 miles

• 200 miles

Two types of plants are being sold at a garden center: roses and tulips. Roses cost $5 each and tulips cost $3 each. If a customer buys a total of 20 plants for $80, how many of each type did they buy?

• 10 roses and 10 tulips

• 5 roses and 15 tulips

• 12 roses and 8 tulips

• 15 roses and 5 tulips

A bookstore sells novels for $10 and magazines for $5. If a customer buys a total of 15 items and spends $100, how many novels and magazines did they purchase?

• 5 novels and 10 magazines

• 3 novels and 12 magazines

• 7 novels and 8 magazines

• 10 novels and 5 magazines

A gym has two types of memberships: monthly and yearly. The monthly membership costs $30, and the yearly membership costs $300. If 40 members have monthly memberships and 10 have yearly memberships, how much total revenue does the gym generate from memberships?

• $4000

• $3500

• $4500

• 4200