Solve for J and B: Junhao & Bala Stamps Problem

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In summary, the problem with Junhao & Bala stamps is that they need to divide their stamp collection evenly but do not know how many stamps each person should get. The variables in this problem are J and B, representing the number of stamps for Junhao and Bala, respectively. To solve for J and B, algebraic equations and given information can be used. Solving this problem is important to ensure fairness and equality between the two friends. This problem can also be applied to real-life situations such as dividing resources or assets between two individuals.
  • #1
Johnx1
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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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  • #2
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

\(\displaystyle J = 76 + B\)

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

FAQ: Solve for J and B: Junhao & Bala Stamps Problem

What is the problem with Junhao & Bala stamps?

The problem with Junhao & Bala stamps is that the two friends have a collection of stamps and they want to divide it evenly between them, but they do not know how many stamps each person should get.

What are the variables in this problem?

The variables in this problem are J and B, which represent the number of stamps that Junhao and Bala will receive, respectively.

How do you solve for J and B in this problem?

To solve for J and B, we need to use algebraic equations and the given information about the total number of stamps and the ratio between Junhao and Bala's stamps. We can set up a system of equations and solve for the variables using substitution or elimination.

What is the importance of solving this problem?

The importance of solving this problem is to ensure fairness and equality between Junhao and Bala in their stamp collection. By finding the correct values for J and B, they can divide the stamps equally and avoid any disputes or conflicts.

What are some real-life applications of this problem?

This problem can be applied to various situations where resources need to be divided fairly between two individuals. For example, it can be used to determine how to distribute food or money between two people, or to split assets in a business partnership.

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