francinydiaz444
Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

An office supply company sells two types of fax

machines. They charge $15O for one of the

machines and $225 for the other. If the

company sold 22 fox machines for a total of

$3900 lost month, how many of each type were

sold?

Sagot :

14 of the machine that cost $150 was sold and 8 of the machine that cost $225 was sold.

To solve this problem, we would write a system of linear equations.

  • Let x represent the machine that cost $150
  • Let y represent the machine that cost $225

We can proceed to write our equations now.

[tex]x + y = 22...equation(i)\\150x + 225y = 3900...equation(ii)[/tex]

From equation 1

[tex]x+ y = 22\\x = 22 - y...equation (iii)[/tex]

The Value of Y

put equation (iii) into (ii)

[tex]150x + 225y =3900\\x = 22-y\\150(22-y)+225y=3900\\3300-150y+225y=3900\\3300+75y=3900\\75y=3900-3300\\75y=600\\75y/75=600/75\\y=8[/tex]

The Value of X

Since we know the number of y, we can simply substitute it into equation (i) and solve.

[tex]x + y = 22\\x + 8 = 22\\x = 22-8\\x = 14[/tex]

From the calculations above, 14 of the machine that cost $150 was sold and 8 of the machine that cost $255 was sold.

Learn more about system of equations here;

https://brainly.com/question/13729904

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.