Answer :

Sure! Let's solve the problem step by step to find the total weight:

1. We know that [tex]\(\frac{3}{5}\)[/tex] of the total weight is equal to 135 kilograms.

2. To find the total weight, we need to determine what the entire amount is if [tex]\(\frac{3}{5}\)[/tex] of it equals 135 kg.

3. Let’s consider the total weight as [tex]\(x\)[/tex]. The equation we set up based on the information given is:
[tex]\[
\frac{3}{5} \times x = 135
\][/tex]

4. To solve for [tex]\(x\)[/tex], you will isolate it by dividing both sides of the equation by [tex]\(\frac{3}{5}\)[/tex]. This can be rewritten as:
[tex]\[
x = \frac{135}{\frac{3}{5}}
\][/tex]

5. To divide by a fraction, multiply by its reciprocal. The reciprocal of [tex]\(\frac{3}{5}\)[/tex] is [tex]\(\frac{5}{3}\)[/tex]. So, you multiply:
[tex]\[
x = 135 \times \frac{5}{3}
\][/tex]

6. Calculate the multiplication:
[tex]\[
x = 135 \times \frac{5}{3} = 225
\][/tex]

So, the total weight is 225 kilograms.

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Rewritten by : Barada