Solving Linear Equations in Real-Life Scenarios

A school is planning a field trip. The cost per student is $30, and the bus rental is a flat fee of $200. Write a linear equation to represent the total cost for 'x' students. How many students can attend if the total budget is $800?

• 20

• 30

• 25

• 15

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 a system of equations to represent their sales. How many cookies does each sell if Maria sells 10 cookies?

• Maria sells 12 cookies and John sells 8 cookies.

• Maria sells 5 cookies and John sells 15 cookies.

• Maria sells 10 cookies and John sells 13 cookies.

• Maria sells 10 cookies and John sells 20 cookies.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a linear equation for the total cost 'C' in terms of miles 'm'. If a customer drives 150 miles, what is the total cost?

• $90

• $80

• $70

• $100

Two friends, Alex and Sam, are saving money for a concert. Alex saves $5 each week, while Sam saves $8 each week. Write a system of equations to represent their savings over time. How many weeks will it take for their savings to be equal if Alex starts with $20?

• 4 weeks

• Approximately 6.67 weeks

• 10 weeks

• 8 weeks

A farmer has two types of crops: corn and wheat. He earns $4 per bushel of corn and $3 per bushel of wheat. If he wants to earn at least $120, write a linear inequality to represent the situation. How many bushels of each crop should he plant if he plants 10 bushels of corn?

• Plant 10 bushels of corn and at least 27 bushels of wheat.

• Plant 10 bushels of corn and 15 bushels of wheat.

• Plant 10 bushels of corn and 30 bushels of wheat.

• Plant 10 bushels of corn and 20 bushels of wheat.

A local gym charges a monthly fee of $40 plus $5 for each class attended. Write a linear equation to represent the total cost 'C' for 'x' classes. If a member attends 8 classes, what is the total cost?

• $60

• $100

• $40

• $80

In a bookstore, the price of a novel is $15, and the price of a magazine is $5. If a customer buys a total of 10 items and spends $100, write a system of equations to represent the situation. How many novels and magazines did the customer buy?

• 4 novels and 6 magazines

• 3 novels and 7 magazines

• 5 novels and 5 magazines

• 6 novels and 4 magazines

A taxi company charges a base fare of $3 plus $2 per mile. Write a linear equation for the total fare 'F' in terms of miles 'm'. If a passenger travels 10 miles, what is the total fare?

• $23

• $15

• $18

• $30

A restaurant sells burgers for $10 and salads for $7. If a customer spends $50 and buys a total of 6 items, write a system of equations to represent the situation. How many burgers and salads did the customer order?

• 3 burgers and 3 salads

• 4 burgers and 2 salads

• 6 burgers and 0 salads

• 5 burgers and 1 salad

A concert hall has two types of tickets: regular tickets for $25 and VIP tickets for $50. If a total of 100 tickets are sold for a total of $3500, write a system of equations to represent the situation. How many of each type of ticket were sold?

• 20 regular tickets and 80 VIP tickets were sold.

• 40 regular tickets and 60 VIP tickets were sold.

• 30 regular tickets and 70 VIP tickets were sold.

• 50 regular tickets and 50 VIP tickets were sold.