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Diego spent $3100 on a laptop, a VR headset, and a gaming mouse. The laptop cost $1900 more than the mouse and VR headset combined. The VR headset cost three times as much as the mouse. How much did the VR headset cost?

 Sep 8, 2021
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Let's say the laptop costs 6x. the VR headset costs $y. The laptop cost $2.    So { x + y + z = 3100 1

                      { x - (y+z) = 1900 2

                      {    y = 32             3
3->2     x - 42 = 1900  4

3->1     x + 42 = 3100 5

 4+5      2x = 5000           x = 2500

x - 42 = 1900             z=150

y = 32                      y = 450

 

 

 

450 is the answer

 Sep 9, 2021

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