Question

A store sells both cold and hot beverages. Cold beverages cost $1.50, while hot beverages cost $2.00. On Saturday, drink receipts totaled $360, and 4 times as many cold beverages were sold as hot beverages.

Part 1: Write a system of equations to represent the beverage sales on Saturday.

Part 2: Use any solving method you like to solve the system of equations you wrote in Part 1. Show all of your work.

Answer 1

The number of hot beverages = 45 and number of cold beverages = 180

Explanation:

We have to write the equation of hot and cold beverages and find how many of each were sold.

Cost of cold beverage = $1.50

Cost of hot beverage = $2.00

The total cost of beverages on that day totaled to be $360.

We are also told that the number of cold beverages sold is 4 times as many hot beverages.

Let number of hot beverages = x

Cold beverages = 4x

Total cost = $360

`1.5* 4x +2* x` = 360

8x = 360

x =
`(360)/(8)`

x = 45

The number of hot beverages = 45 and number of cold beverages = 180