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Answer :
To find the total when [tex]\(\frac{3}{5}\)[/tex] of the total is 135 kgs, follow these steps:
1. Understand the problem: We know that [tex]\(\frac{3}{5}\)[/tex] of a certain total weight is equal to 135 kgs. We want to find out what the total weight is.
2. Set up the equation: Let's call the total weight [tex]\(x\)[/tex]. According to the problem, [tex]\(\frac{3}{5} \times x = 135\)[/tex].
3. Solve for [tex]\(x\)[/tex]: To find [tex]\(x\)[/tex], we need to isolate it. We can do this by dividing both sides of the equation by [tex]\(\frac{3}{5}\)[/tex].
[tex]\[
x = \frac{135}{\frac{3}{5}}
\][/tex]
4. Simplify the division: Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of [tex]\(\frac{3}{5}\)[/tex] is [tex]\(\frac{5}{3}\)[/tex]. So:
[tex]\[
x = 135 \times \frac{5}{3}
\][/tex]
5. Calculate the result: Multiply 135 by [tex]\(\frac{5}{3}\)[/tex]:
[tex]\[
x = 135 \times \frac{5}{3} = 225
\][/tex]
The total weight is 225 kgs.
1. Understand the problem: We know that [tex]\(\frac{3}{5}\)[/tex] of a certain total weight is equal to 135 kgs. We want to find out what the total weight is.
2. Set up the equation: Let's call the total weight [tex]\(x\)[/tex]. According to the problem, [tex]\(\frac{3}{5} \times x = 135\)[/tex].
3. Solve for [tex]\(x\)[/tex]: To find [tex]\(x\)[/tex], we need to isolate it. We can do this by dividing both sides of the equation by [tex]\(\frac{3}{5}\)[/tex].
[tex]\[
x = \frac{135}{\frac{3}{5}}
\][/tex]
4. Simplify the division: Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of [tex]\(\frac{3}{5}\)[/tex] is [tex]\(\frac{5}{3}\)[/tex]. So:
[tex]\[
x = 135 \times \frac{5}{3}
\][/tex]
5. Calculate the result: Multiply 135 by [tex]\(\frac{5}{3}\)[/tex]:
[tex]\[
x = 135 \times \frac{5}{3} = 225
\][/tex]
The total weight is 225 kgs.
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