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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.

Respuesta :

RhondaSommer

Answer:

Equation:

[tex]4(1.50b) + 2b = 360[/tex]

Step-by-step explanation:

[tex]6b+2b=360\\8b=360\\b=45[/tex]

They sold 45 Hot Beverages and 180 Cold Beverages

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, [tex]1.50x+2y=360[/tex]

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

[tex]x=4y[/tex] ---1

[tex]1.50x+2y=360[/tex] ---2

Substitute the value of x from 1 in 2

[tex]1.50(4y)+2y=360[/tex]

[tex]6y+2y=360[/tex]

[tex]8y=360[/tex]

[tex]y=45[/tex]

Substitute the value of y in 1

[tex]x=4(45)[/tex]

[tex]x=180[/tex]

Hence 180 cold beverages and 45 hot beverages were sold

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