Question

Divide $414 into three parts such that first one is two-third of the second and the ratio between second and third is 5 : 7.

Answer 1

Answer:

$90, $135, $189

Step-by-step explanation:

Since the first part of the ratio is two- thirds of the second, then

first part = $\frac{2}{3}$ × 5 = $\frac{10}{3}$

The ratio is then

$\frac{10}{3}$ : 5 : 7

Sum the 3 parts of the ratio

$\frac{10}{3}$ + 5 + 7 = $\frac{46}{3}$

Divide the amount to be shared by the sum to find the value of one part of the ratio.

$414 × $\frac{3}{46}$ = $27 ← value of 1 part of the ratio, then

$\frac{10}{3}$ × $27 = $90

5 × $27 = $135

7 × $27 = $189

The 3 parts are $90, $135, $189