Real-World Systems of Equations: Solve and Graph

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 50 tickets for $400, how many adult and student tickets were sold? Check your answer for reasonableness.

• 40 adult tickets and 10 student tickets were sold.

• 30 adult tickets and 20 student tickets were sold.

• 20 adult tickets and 30 student tickets were sold.

• 25 adult tickets and 25 student tickets were sold.

Two friends, Alex and Jamie, are saving money for a concert. Alex saves $15 a week, while Jamie saves $10 a week. If they want to save a total of $150 together, how many weeks will it take for them to reach their goal? Graph the equations to visualize their savings.

• 8 weeks

• 7 weeks

• 5 weeks

• 6 weeks

A farmer has chickens and cows. If there are 20 animals in total and they have 60 legs, how many chickens and cows does the farmer have? Solve the system of equations and check if your answer makes sense.

• 10 chickens and 10 cows

• 5 chickens and 15 cows

• 12 chickens and 8 cows

• 15 chickens and 5 cows

In a bookstore, a novel costs $12 and a magazine costs $5. If a customer buys a total of 8 items for $66, how many novels and magazines did they buy? Verify your solution by checking the calculations.

• 1 novel and 7 magazines

• 4 novels and 4 magazines

• 2 novels and 6 magazines

• 3 novels and 5 magazines

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50, how many miles did they drive? Set up the equations and check if your answer is reasonable.

• 50 miles

• 120 miles

• 80 miles

• 100 miles

A local gym offers two membership plans. Plan A costs $25 per month and Plan B costs $15 per month plus a one-time fee of $50. If a customer wants to spend $100, which plan should they choose? Solve the system and graph the options.

• Plan B

• Plan A with a one-time fee

• Plan C at $30 per month

• Plan A

In a fruit market, apples cost $2 each and bananas cost $1 each. If a customer buys a total of 10 fruits for $16, how many apples and bananas did they buy? Solve the equations and check for reasonableness.

• 5 apples and 5 bananas

• 7 apples and 3 bananas

• 6 apples and 4 bananas

• 4 apples and 6 bananas

A movie theater sells popcorn for $5 and soda for $3. If a family spends $36 on snacks and buys a total of 8 items, how many popcorns and sodas did they purchase? Solve the system and verify your answer.

• 6 popcorns and 2 sodas

• 5 popcorns and 3 sodas

• 7 popcorns and 1 soda

• 4 popcorns and 4 sodas

A school is organizing a field trip. The cost for a bus is $200 and each student pays $10. If 30 students are going, how much money will they collect? Set up the equations and check if the total is reasonable.

• $300

• $200

• $400

• $250

Two types of plants are being sold at a garden center. Type A costs $4 each and Type B costs $6 each. If a customer buys a total of 15 plants for $60, how many of each type did they buy? Solve the system and graph the results.

• 5 Type A plants and 10 Type B plants

• 7 Type A plants and 8 Type B plants

• 10 Type A plants and 5 Type B plants

• 15 Type A plants and 0 Type B plants