Identifying Variables and Writing Equations for Real-Life Scenarios

A school is organizing a field trip. The cost for a bus is $200, and each student pays $10. Write an equation in standard form to represent the total cost for x students. Identify the variables.

• C = 10 + 200x

• 200x + 10 = C

• 10x - 200 = C

• 10x + 200 = C, where C is the total cost.

Maria and John are selling cookies. Maria sells cookies for $2 each, and John sells them for $3 each. If they want to make a total of $60, write an equation in standard form to represent the number of cookies they need to sell. Identify the variables.

• x + y = 60

• 2x + 3y = 30

• 4x + 2y = 60

• 2x + 3y = 60

A farmer has chickens and cows. The total number of animals is 50, and there are 140 legs in total. Write a system of equations in standard form to represent the number of chickens and cows. Identify the variables.

• x + y = 60, 2x + 4y = 120

• x + y = 50, 2x + 4y = 140

• x + y = 40, 2x + 3y = 140

• x + y = 50, 3x + 4y = 140

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, write an equation in standard form to represent the number of each type of ticket sold. Identify the variables.

• 50x + 100y = 4000

• 100x + 50y = 4000

• 25x + 100y = 4000

• 50x + 75y = 4000

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer pays $50, write an equation in standard form to represent the miles driven. Identify the variables.

• 10x - 300 = 0

• 15x - 1000 = 0

• 20x - 2000 = 0

• 25x - 1500 = 0

In a bookstore, the cost of a novel is $15 and a magazine is $5. If a customer spends $100, write an equation in standard form to represent the number of novels and magazines purchased. Identify the variables.

• 10x + 2y = 100

• 5x + 15y = 100

• 15x + 5y = 100

• 20x + 10y = 100

A gym offers two membership plans: a monthly plan for $25 and an annual plan for $250. If a customer spends $300, write an equation in standard form to represent the number of each type of membership purchased. Identify the variables.

• 30x + 200y = 300

• 20x + 250y = 300

• 25x + 300y = 300

• 25x + 250y = 300

A bakery sells loaves of bread for $4 and pastries for $2. If the total sales amount to $80, write an equation in standard form to represent the number of loaves and pastries sold. Identify the variables.

• 4x + 2y = 80

• 3x + 5y = 80

• 2x + 4y = 80

• 5x + 3y = 80

A movie theater has two types of tickets: adult tickets for $12 and child tickets for $8. If the total number of tickets sold is 100 and the total revenue is $960, write a system of equations in standard form. Identify the variables.

• x + y = 100; 12x + 8y = 960

• x + y = 120; 10x + 6y = 960

• x + y = 80; 12x + 8y = 800

• x + y = 100; 10x + 8y = 900

A charity event sells tickets for $20 each and donations are collected. If the total amount raised is $5000 and 200 tickets were sold, write an equation in standard form to represent the total amount raised from ticket sales and donations. Identify the variables.

• 4000 + x = 5000

• 2000 + x = 5000

• 3000 + x = 5000

• 500 + x = 5000