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
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