Math, asked by mayankpalm31, 2 days ago

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Answers

Answered by rishabhsoniyt
1

Answer:

answer is 2000 rs

Step-by-step explanation:

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Answered by BrainlyTwinklingstar
3

Given :

Money given to friend : 1/2

Money given to sister : 1/4

Money given to brother : 1/8

Money given to dad : 1/16

Money left with Rashmi : ₹125

To find :

The total money found by Rashmi.

Solution :

We know that, each of them had got a part of some money. But, we don't know the total money. But, we can say that, all the parts given to each and money left adds up to the total money. So,

Let the total money found be x rupees.

Total money found :

\sf \dashrightarrow \small \bigg( \dfrac{1}{2} \: of \: x \bigg) + \bigg( \dfrac{1}{4} \: of \: x \bigg) + \bigg( \dfrac{1}{8} \: of \: x \bigg) + \bigg( \dfrac{1}{16} \: of \: x \bigg) + 125 = x

\sf \dashrightarrow \small \bigg( \dfrac{1}{2} \times x \bigg) + \bigg( \dfrac{1}{4} \times x \bigg) + \bigg( \dfrac{1}{8} \times x \bigg) + \bigg( \dfrac{1}{16} \times x \bigg) + 125 = x

\sf \dashrightarrow \dfrac{1x}{2} + \dfrac{1x}{4} + \dfrac{1x}{8} + \dfrac{1x}{16} + 125 = x

\sf \dashrightarrow \dfrac{8x + 4x + 2x + 1x}{16} + 125 = x

\sf \dashrightarrow \dfrac{15x}{16} + 125 = x

\sf \dashrightarrow -125 = \dfrac{15x}{16} - x

\sf \dashrightarrow -125 = \dfrac{15x - 16x}{16}

\sf \dashrightarrow -125 = \dfrac{-1x}{16}

\sf \dashrightarrow -x = -125 \times 16

\sf \dashrightarrow -x = -2000

\sf \dashrightarrow x = 2000

Hence, Rashmi had found ₹2000 in the bag of money.


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