Question

divide 33276 between a,b and c such that their shares are in the ratio 1/3:1/4:1/5

Answer 1

Answer:

If 33276 is divided between a, b, and c in the ratio 1/3 : 1/4: 1/5 then a, b and c get 14160, 10620 and 8496 respectively

Step-by-step explanation:

Given

33276

We have to distribute it among a, b, and c in the ratio 1/3 : 1/4 : 1/5

That is, if a gets $\frac{1}{3} x$, b gets $\frac{1}{4} x$ and c gets $\frac{1}{5}x$

And

$\frac{1}{3} x$ +$\frac{1}{4} x$ + $\frac{1}{5}x$ = 33276

That is,

$x (\frac{1}{3} +\frac{1}{4} +\frac{1}{5} ) = 33276\\\\x(\frac{1*20}{3*20} +\frac{1*15}{4*15} +\frac{1*12}{5*12} )=33276\\\\ x(\frac{20}{60} +\frac{15}{60} +\frac{12}{60} ) = 33276\\\\x* \frac{20+15+12}{60} = 33276\\\\x*\frac{47}{60} = 33276\\\\x =\frac{33276* 60}{47} \\\\x =42480$

So

a gets 1/3 x = 1/3 * 42480 = 14160

b gets 1/4 x = 1/4 * 42480 = 10620

c gets 1/5 x = 1/5 * 42480 = 8,496

So a, b and c get,14160, 10620 and 8496 respectively