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:

Equation:

$4(1.50b) + 2b = 360$

Step-by-step explanation:

$6b+2b=360\\8b=360\\b=45$

They sold 45 Hot Beverages and 180 Cold Beverages

Answer 2

Answer:

180 cold beverages and 45 hot beverages were sold

Step-by-step explanation:

Let x be the no. of cold beverages were sold

Let y be the  no. of hot beverages were sold

We are given that  On Saturday, 4 times as many cold beverages were sold as hot beverages.

So, x=4y

Cost of 1 cold beverage = $1.50

Cost of x cold beverage = 1.50x

Cost of 1 hot beverage = $2.00.

Cost of y hot beverage = 2y

On Saturday, drink receipts totaled $360

So, $1.50x+2y=360$

A system of equations to represent the beverage sales on Saturday:

$x=4y$ ---1

$1.50x+2y=360$ ---2

Substitute the value of x from 1 in 2

$1.50(4y)+2y=360$

$6y+2y=360$

$8y=360$

$y=45$

Substitute the value of y in 1

$x=4(45)$

$x=180$

Hence 180 cold beverages and 45 hot beverages were sold