Studying for a test and Im stuck on a practice problem..

"if t>w how much greater is the sum of s and t than the sum of s an w?

How can I figure this out? (Headbang)(Headbang)

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- October 17th 2010, 04:33 PMptownjungleIf t>w how much greater is s + t than s + w?
Studying for a test and Im stuck on a practice problem..

"if t>w how much greater is the sum of s and t than the sum of s an w?

How can I figure this out? (Headbang)(Headbang) - October 17th 2010, 04:54 PMAurum
Since t>w by adding a constant number s to both sides:

t+s>w+s but because we add the same number to both t and w it is unimportant in determining how much greater the sum of s and t is than the sum of s and w. (basically subtract s from the equation to get the original t>w.)

To find how much greater t is than w, take the difference.

t-w represents the 'some number' that is the difference between the two or the amount that t is greater than w by.

Therefore the sum of t+s is greater than the sum of w+s by an amount equal to t-w