Solve for J and B: Junhao & Bala Stamps Problem

[Johnx1]

Junhao and Bala both collect stamps. 1/3 of Junhao's stamps is equal to 3/5 of Bala's stamps. Junhao has 76 more stamps than Bala. How many stamps does each of them have?

My answer:

Number of stamps Junhao have =J
Number of stamps Bala have = B

We know that Junhao has 76 more stamps than Bala => Junhao = 76 + Bala.

I'm not sure if this is a correct way to do it, but we know 1/3 of Junao's stamp equal to 3/5 of Bala's stamps.
so => (1/3)J = (3/5)BI got stuck and couldn't figure out a clear way to do this.

 

[BAdhi]

Number of stamps Junhao have =J
Number of stamps Bala have = B

We know that Junhao has 76 more stamps than Bala => Junhao = 76 + Bala.

Why don't you change the equation to following using J and B

\(\displaystyle J = 76 + B\)

and you already have the following equation,

\(\displaystyle \frac{J}{3} = \frac{3B}{5} \implies J = \frac{9B}{5}\)

now you have two unknown variables and two equations. So you can find the values for J and B by substituting the J on the first equation from the second

 

[Johnx1]

\(\displaystyle \frac{J}{3} = \frac{3B}{5} \implies J = \frac{9B}{5}\)

Thank you for this. I didn't see it this way.