Question

A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, 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 sold were 45 and the number of cold beverages sold were 180.

Explanation:

Let the number of cold beverages sold be
`c`

And the number of hot beverages sold be
`h`

According to the question:

c=4
`*` h...

`$` 1.5
`*` c + 2
`*` h = Sale of any day

Part1:

For Saturday.

The sale is of
`$`360

then

`$` 1.5
`*` c +
`$` 2
`*` h =
`$` 360

Part 2:

Following the method of substitution.

And plugging the values of c=4
`*` h...in equation where the sales of Saturday is given.

1.5
`*` c + 2
`*` h =360

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

6
`*` h + 2
`*` h= 360

8
`*` h=360

Dividing both sides with 8.

h=
`(360)/(8)`

h=45

Inserting h=45 in c=4
`*` h...

we have c=4
`*` 45 = 180

So the number of hot beverages sold were 45 and the number of cold beverages sold were 180.