Math, asked by harjotveergabbi, 1 month ago

Harsh and Ridhima started a competition to see who can collect the most number of stamps. At the end of one month, the ratio of the stamps Harsh had to those Ridhima had was 94:95. Ridhima then collected 480 stamps in one day and the ratio then became 94:107. The number of stamps that Harsh now has is ​

Answers

Answered by sidrabibi6159
0

Step-by-step explanation:

Answer:

Number of stamps Lisa had= 3,400

Step-by-step explanation:

At the end of the month, the ratio of the stamps Lisa had to those Ruth had was 85:93.

\frac{Lisa's stamps at End of Month}{Ruth's stamps at End of Month}

Ruth

sstampsatEndofMonth

Lisa

sstampsatEndofMonth

= \frac{85}{93}

93

85

\frac{Ruth's stamps at End of Month}{Lisa's stamps at End of Month}

Lisa

sstampsatEndofMonth

Ruth

sstampsatEndofMonth

= \frac{93}{85}

85

93

On the following day Ruth collected 640 stamps. According to the problem:

\frac{Lisa's stamps at End of Month}{Ruth's stamps after another day's collection}

Ruth

sstampsafteranotherday

scollection

Lisa

sstampsatEndofMonth

= \frac{85}{109}

109

85

=> \frac{Ruth's stamps after another days collection}{Lisa's stamps at the End of the Month}

Lisa

sstampsattheEndoftheMonth

Ruth

sstampsafteranotherdayscollection

= \frac{109}{85}

85

109

=> \frac{(Ruth's stamps at the End of the Month + 640) }{Lisa's stamps at the End of the Month}

Lisa

sstampsattheEndoftheMonth

(Ruth

sstampsattheEndoftheMonth+640)

= \frac{109}{85}

85

109

=> \frac{Ruth's stamps at End of Month}{Lisa's stamps at End of Month}

Lisa

sstampsatEndofMonth

Ruth

sstampsatEndofMonth

+ \frac{640}{Lisa's stamps at End of Month}

Lisa

sstampsatEndofMonth

640

= \frac{109}{85}

85

109

=> \frac{93}{85}

85

93

+ \frac{640}{Lisa's stamps at End of Month}

Lisa

sstampsatEndofMonth

640

= \frac{109}{85}

85

109

=> \frac{640}{Lisa's stamps at End of Month}

Lisa

sstampsatEndofMonth

640

= \frac{109}{85}

85

109

- \frac{93}{85}

85

93

= \frac{16}{85}

85

16

∴ Number of stamps Lisa had = \frac{(85 x 640)}{16}

16

(85x640)

= 3,400

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