<PRE><B>Question 1126557</B>
let x = the amount of orange juice in a full glass.


the glass is 1/6 full = 1/6 * x


add 95 cubic centimeters and the glass becomes 4/5 full.


equation for that is:


1/6 * x + 95 = 4/5 * x


subtract 1/6 * x from both sides of this equation to get:


95 = 4/5 * x - 1/6 * x


multiply 4/5 * 6/6 and multiply 1/6 * 5/5 and the equation becomes:


95 = 24/30 * x - 5/30 * x


combine like terms to get 95 = 19/30 * x


multiply both sides of the equation by 30/19 to get:


30/19 * 95 = 30/19 * 19/30 * x


simplify to get:


30/19 * 95 = x


solve for x to get x = 150.


the volume of the glass is 150 cubic centimeters.


1/6 * 150 = 25
4/5 * 150 = 120


the difference between 4/5 full and 1/6 full is 95 cubic centimeters.


solution looks good.


solution is that the volume of the glass is 150 cubic centimeters.



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