Question

If 1632 is divided into four parts in the proportion of 3/4,2/3,3/5,1/4 respectively then the third part is?

Answer 1

Answer:

432

Step-by-step explanation:

Ratio = 3/4 : 2/3 : 3/5 : 1/4

Find the LCM 0f 3, 4, 5

LCM = 3 x 4 x 5 = 60

Multiply the ratio by 60:

Ratio = 3/4 x 60 : 2/3x 60 : 3/5x 60 : 1/4 x 60

Ratio = 45 : 40 : 36 : 15

Define x:

Let x be the constant ratio

Ratio = 45x : 40x : 36x : 15x

Solve x:

45x + 40x + 36x + 15x = 1632

136x = 1632

x = 12

Find the third part:

Third part = 36x = 36(12) = 432

Answer: The third part is 432