Question 17

The integer part of the solution of the equation in $$x$$, $$\frac{1}{3}(x - 3) - \frac{1}{4}(x - 8) = \frac{1}{5}(x - 5)$$ is

Correct Answer: 17

Solution

Multiplying throughout by 60 clears the fractions and gives $$20(x - 3) - 15(x - 8) = 12(x - 5)$$. Simplifying, $$5x + 60 = 12x - 60$$, so $$7x = 120$$ and $$x = \frac{120}{7} \approx 17.14$$. The integer part of this solution is 17.

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