# Steve drank 1/2 of a container of orange juice, and Emily drank 1/3 of tge same container. The remaining orange juice measures 60 ml. How many millilitres of orange juice were there originally?

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by Chesnut

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by Chesnut

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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)

Steve drank 1/2 (x)

Emily drank 1/3 (x)

Remaining: 60 ml

(1/2)(x) + (1/3)(x) + 60 = x

(6)(1/2)(x) + (6)(1/3)(x) + (6) (60) = (6)(x)

5x + 360 = 6x

360 = 6x - 5x

360 = x

Check:

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)