Real-Life Systems of Equations: Word Problems & Graphs

A school is planning a field trip. The cost for a bus is $200, and each student pays $10. Write a system of equations to represent the total cost and the number of students. How many students can go if the total budget is $500?

• 30

• 20

• 35

• 25

Maria and John are selling cookies. Maria sells her cookies for $2 each, and John sells his for $3 each. If they want to make a total of $60, write a system of equations to represent their sales. How many cookies does each sell if Maria sells 10 cookies?

• Maria sells 5 cookies and John sells 15 cookies.

• Maria sells 10 cookies and John sells 20 cookies.

• Maria sells 12 cookies and John sells 8 cookies.

• Maria sells 10 cookies and John sells 13 cookies.

A farmer has chickens and cows. The total number of animals is 30, and there are 80 legs in total. Write a system of equations to represent the situation. How many chickens and cows does the farmer have?

• 10 chickens and 20 cows

• 20 chickens and 10 cows

• 15 chickens and 15 cows

• 25 chickens and 5 cows

A concert hall has two types of tickets: regular tickets for $50 and VIP tickets for $100. If the total revenue from ticket sales is $4000 and 60 tickets were sold, write a system of equations to find out how many of each type of ticket were sold.

• x + y = 60; 50x + 100y = 4000

• x + y = 60; 50x + 100y = 3500

• x + y = 70; 50x + 100y = 5000

• x + y = 50; 50x + 100y = 3000

In a fruit market, apples cost $1 each and bananas cost $0.50 each. If a customer buys a total of 20 fruits and spends $12, write a system of equations to represent the situation. How many apples and bananas did the customer buy?

• 2 apples and 18 bananas

• 5 apples and 15 bananas

• 4 apples and 16 bananas

• 10 apples and 10 bananas

A bookstore sells novels for $15 and magazines for $5. If a customer buys a total of 10 items and spends $100, write a system of equations to find out how many novels and magazines were purchased.

• 5 novels and 5 magazines

• 7 novels and 3 magazines

• 6 novels and 4 magazines

• 4 novels and 6 magazines

Two friends, Alex and Jamie, are saving money for a trip. Alex saves $50 a month, while Jamie saves $30 a month. If they want to save a total of $600 together, write a system of equations to represent their savings. How many months will it take for them to reach their goal?

• 8 months

• 6 months

• 10 months

• 12 months

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer pays $50 for a rental, write a system of equations to represent the situation. How many miles did the customer drive?

• 75 miles

• 120 miles

• 100 miles

• 50 miles

A bakery sells cakes for $20 and pies for $10. If they sold a total of 15 items and made $250, write a system of equations to find out how many cakes and pies were sold.

• 5 cakes and 10 pies

• 10 cakes and 5 pies

• 8 cakes and 7 pies

• 12 cakes and 3 pies

In a gym, a membership costs $40 per month, and personal training sessions cost $25 each. If a member spends a total of $200 in a month, write a system of equations to represent their spending. How many training sessions did they purchase?

• 10

• 4

• 6

• 8