lozanoalberto64 lozanoalberto64
  • 31-10-2016
  • Mathematics
contestada

One number is 800 less than 3 times the other, and their sum is 1,200. Find the numbers.

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HeyGuysItsRach
HeyGuysItsRach HeyGuysItsRach
  • 31-10-2016
You can use variables to get the answer. So there's x, and the other number is 800 less than 3 times x

Their sum is 1,200, so you get this equation:

x + 3x - 800 = 1,200 (add like terms)
4x - 800 = 1,200 (add 800 on both sides)
4x = 2,000 (divide by 4 on each side)
x = 5,000

The first number is 5,000.
If the second number is 800 less than 3 times the other, 500(3) - 800 = 700.

CHECK YOUR WORK:
5,000 + 700 = 1,200
1,200 = 1,200

THE TWO NUMBERS ARE: 5,000 & 700
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