Solve for J and B: Junhao & Bala Stamps Problem

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The discussion focuses on solving the stamp collection problem involving Junhao and Bala, where the relationship between their collections is defined by two equations. Junhao's stamps (J) equal Bala's stamps (B) plus 76, and one-third of J equals three-fifths of B. By substituting J from the first equation into the second, the values for J and B can be determined as J = 95 and B = 19. This method effectively utilizes algebraic substitution to solve for the unknowns.

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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.
 
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Johnx said:
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

$$J = 76 + B$$

and you already have the following equation,

$$ \frac{J}{3} = \frac{3B}{5} \implies J = \frac{9B}{5}$$

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
 
BAdhi said:
$$ \frac{J}{3} = \frac{3B}{5} \implies J = \frac{9B}{5}$$
Thank you for this. I didn't see it this way.
 

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