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

Answer:

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

Step-by-step 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$\times$ h...

1.5$\times$ c + 2$\times$ h = Sale of any day

Part1:

For Saturday.

The sale is of 360

then

1.5 $\times$ c + 2 $\times$ h = 360

Part 2:

Following the method of substitution.

And plugging the values of c=4$\times$ h...in equation where the sales of Saturday is given.

1.5$\times$ c + 2$\times$ h =360

1.5$\times$ 4$\times$ h + 2 $\times$ h =360

6$\times$ h + 2$\times$ h= 360

8$\times$ h=360

Dividing both sides with 8.

h=$\frac{360}{8}$

h=45

Inserting h=45 in c=4 $\times$ h...

we have c=4$\times$ 45 = 180

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