Question

I have blue and red marbles in the ratio of 4:7 and
I have red and green marbles in the ratio of 5:8. If i
have 40 blue marbles, how many green marbles do
I have?

Answer 1

__________________________

Given :

• $\color{Blue} {blue}$ and $\color{red} {Red}$ marbles = 4 : 7

• $\color{red} {Red}$ and $\color{green} {Green}$ marbles = 5:8

• $\color{blue} {Blue}$ marbles = 40

__________________________

To find :

• How many $\color{green} {Green\:marbles}$

Solution :

To Find the number of green marbles :

According to the question :

$\rightarrow$ We have only number of blue marbles so firstly we will find the number of red marbles so ,

(i) $\sf\implies$ Let , $\color{blue} {Blue\: marbles}$ be $\color{red} {4x}$

$\sf\implies$ Let , $\color{Red} {Red\: marbles}$ be $\color{red} {7x}$

(ii) $\sf\implies$ Let , $\color{Red} {Red\: marbles}$ be $\color{red} {5x}$

$\sf\implies$ Let , $\color{green} {Green\: marbles}$ be $\color{red} {8x}$

$\rightarrow$ If Blue marbles = 4x = 40

_____________________________

Then,

$\rightarrow$ Red marbles = 7x = 70 marbles

(ii) $\rightarrow$ Red marbles = 5x = 50 marbles

$\rightarrow$ Green marbles = 8x = 80marbles

$\therefore$ No. of green marbles is 80

________________________