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2016-03-21T21:23:24+08:00

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Let x be the original amount of juice.
Steve drank 1/2 (x)
Emily drank 1/3 (x)
Remaining: 60 ml

Equation:

     (1/2)(x) + (1/3)(x) + 60 = x

Multiply each term by LCD 6:
   
     (6)(1/2)(x) + (6)(1/3)(x) + (6) (60) = (6)(x)
    3x + 2x + 360 = 6x
     5x + 360 = 6x
     360 = 6x - 5x
     360 = x
     x = 360 ml.

ANSWER:  The container originally contained 360 ml
     
Check:
     Steve drank 1/2 (360) = 180 ml.
     Emily drank 1/3 (360 ml) = 120 ml
     Remaining juice = 60 ml.

Add:
180 ml + 120 ml + 60 = 360 ml.
360 ml = 360 ml    (true)




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