Question

The marks obtained by Alex in mathematics, science and english are <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{1}{2}$ : $\frac{1}{3}$ : $\frac{1}{5}$ . If his total score in the three subjects is 930, find his score in mathematics.

Answer 1

Ratio of scores = $\frac{1}{2}$ : $\frac{1}{3}$ : $\frac{1}{5}$

LCM (2,3,5) = 30

On simplifying the ratio, we get

$\frac{1}{2}\times 30$ : $\frac{1}{3}\times 30$ : $\frac{1}{5}\times 30$

= 15 : 10 : 6

Let his score in the subjects be 15x, 10x and 6x respectively.
Total score = 31x
According to the question, total score = 930

$\therefore$ 31x = 930

$\Rightarrow$ x = 30

Hence, his score in mathematics = 15x = 15 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ×30 = 450.