Each computer costs $225 and each printer costs $150
Step-by-step explanation:
Thomas is starting a new company. He has two quotes from a computer company for the cost of computers and printers
We need to find how much each computer and printer costs
Assume that the cost of each computer is $x and the cost of each printer is $y
∵ The cost of each computer is $x
∵ The cost of each printer is $y
∵ The cost of 3 computers and one printer is $825
- Multiply x by 3 and add the product to y, equate the sum by 825
∴ 3x + y = 825 ⇒ (1)
∵ The cost of 4 computers and 2 printers is $1200
- Add the product of 4, x and the product of 2 , y and equate the
sum by 1200
∴ 4x + 2y = 1200 ⇒ (2)
Now we have a system of equations to solve it
Multiply equation (1) by -2 to eliminate y
∵ -6x - 2y = -1650 ⇒ (3)
- Add equations (2) and (3)
∴ -2x = -450
- Divide both sides by -2
∴ x = 225
Substitute the value of x in equation (1) to find y
∵ 3(225) + y = 825
∴ 675 + y = 825
- Subtract 675 from both sides
∴ y = 150
Each computer costs $225 and each printer costs $150
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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