Question

Diego sells lunches for $4.00 and drinks for $1.50. He sold $120.00 worth of lunches and drinks in one day. Which equation represents the relation between the number of lunches sold, x, the number of drinks sold, y, and the amount of dollars that Diego sold that day?

A) 4x + 1.50y = 120
B) 4x - 1.50y = 120
C) 4x + 1.50y = 5
D) 4x - 1.50y = 5

Answer 1

The correct equation representing the relationship between the number of lunches Diego sold, number of drinks sold, and the total amount of money he made is 4x + 1.50y = 120, which corresponds to option A.

Step-by-step explanation:

To find the equation that represents the relation between the number of lunches sold, x, the number of drinks sold, y, and the amount of dollars that Diego sold that day, we must create a linear equation. Since Diego sells lunches for $4.00 each and drinks for $1.50 each, and he sold $120.00 worth in one day, we have the equation 4x (the amount from lunches) plus 1.50y (the amount from drinks) equals $120.00. The correct equation therefore is:

4x + 1.50y = 120

Option A correctly represents this relationship, as it correctly accounts for the total value of items sold, combining the income from lunches and drinks to match the total sales for the day.