SOLUTION: translate the following situation into an inequality. Do not solve. “The sum of three integers is no more than 110. If one integer is nine less than twice the first integer and

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Question 405201: translate the following situation into an inequality. Do not solve.
“The sum of three integers is no more than 110. If one integer is nine less than twice the first integer and the third integer is one fourth the first integer, what are the integers? HELP ME...ANYONE KNOW HOW..??!!!!

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Let the three integers be: x, y, z
:
Write an equation for each statement:
:
"The sum of three integers is no more than 110."
x + y + z <= 110
:
If one integer is nine less than twice the first integer"
y = 2x - 9
:
" the third integer is one fourth the first integer,"
z = .25x
:
Substitute in the 1st equation:
(2x-9) for y
.25x for z
x + (2x-9) + .25x <= 110
:
3.25x - 9 <= 110


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