Roddy Rich, Lil Baby, JCole, DaBaby, Young Thug, Future, and Gunna invested $4,914,000 in THE MARATHON CLOTHING STORE  in the ratio of 1:2:3:4:5:6:7 respectively. How much did  each one invest?

Respuesta :

We are given that a quantity of $4914000 is divided in the ratio of 1:2:3:4:5:6:7. To determine the amount for each one, let's remember that when a quantity "N" is divided in the ratio of x:y:z:d..., then each part corresponds to:

[tex]\text{first part=}\frac{Nx}{x+y+z+d+\cdots}[/tex][tex]\text{second part=}\frac{Ny}{x+y+z+d+\cdots}[/tex]

And so on. Therefore, the part of Roddy Rich is:

[tex]\text{Roddy Rich=}\frac{(4914000)(1)}{1+2+3+4+5+6+7}=175500[/tex]

the part of lil babe is

[tex]\text{lil babe=}\frac{(4914000)(2)}{1+2+3+4+5+6+7}=351000[/tex]

Jay cole part is:

[tex]\text{Jay cole=}\frac{(4914000)(3)}{1+2+3+4+5+6+7}=526500[/tex]

Da baby part:

[tex]da\text{ baby=}\frac{(4914000)(4)}{1+2+3+4+5+6+7}=702000[/tex]

Young thug part:

[tex]\text{young thug=}\frac{(4914000)(5)}{1+2+3+4+5+6+7}=877500[/tex]

Future part:

[tex]\text{future=}\frac{(4914000)(6)}{1+2+3+4+5+6+7}=1053000[/tex]

Gunna part:

[tex]\text{Gunna}=\frac{(4914000)(7)}{1+2+3+4+5+6+7}=1228500[/tex]