SOLUTION: A glass is
1/6 full. Then 95cm3 of orange juice is poured in.
The glass is now
4/5 full.
What is the total volume of the glass?
Algebra.Com
Question 1126557: A glass is
1/6 full. Then 95cm3 of orange juice is poured in.
The glass is now
4/5 full.
What is the total volume of the glass?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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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