SOLUTION: Translate the following 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 int

Algebra ->  Inequalities -> SOLUTION: Translate the following 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 int      Log On


   

Question 421207: Translate the following 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?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of 3 integes is no more than 110.

this leads to:

x + y + z <= 110

x is the first integer
y is the second integer
z is the third integer

one integer (this is the second integer which is equal to y) is 9 less than 2 times the first integer (the first integer is x).

this leads to:

y = 2x - 9

the third integer is 1/4 the first integer.

this leads to:

z = x/4

you should be able to solve it from this.

let me know the answer that you come up with.