Question

A pole is divided in the ratio 7 : 8. If the longer part measures 176 cm, then the measure of the shorter part is

Answer 1

Given:
A pole is divided in the ratio 7 : 8.
Measure of the longer part = 176 m.

Let the length of the pole be $xm$

Terms of the ratio 7 : 8 are 7 and 8.
Sum of the terms of the given ratio
= 7 + 8 = 15 [1 Mark]
We know,
$\text{Longer part}=\frac{8}{15}\times x$
$\frac{8}{15}\times x=\text{Longer part}$
$\frac{8}{15}\times x=176$
$x=\frac{15\times 176}{8}$
$x=15\times 22$
$x=330m$ [1 Mark]

Therefore,
$\text{Shorter part}=\frac{7}{15}\times x$
$=\frac{7}{15}\times 330$
$=7\times 22$
$=154m$ [1 Mark]