Question 73

If $$x : y : z = 3 : 4 : 5$$ and $$x + y + z = 96$$, then what is the value of $$z$$?

Solution

$$x : y : z = 3 : 4 : 5$$

x = 3p

y = 4p

z = 5p

x + y + z = 12p

Given 12p = 96

therefore, p = $$ \frac{96}{12} $$

                   = 8

z = $$ 5 \times 8 = 40 $$


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