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supriya reads 1/3 of a stroybook on the ...

supriya reads 1/3 of a stroybook on the first day and 1/4 of the book on the second day.
How many more pages does she read on first day than second day, if book has 1440 pages ?

A

140

B

220

C

120

D

320

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will calculate how many pages Supriya read on each day and then find the difference between the two. ### Step 1: Calculate the number of pages read on the first day. Supriya reads \( \frac{1}{3} \) of the book on the first day. The total number of pages in the book is 1440. \[ \text{Pages read on the first day} = \frac{1}{3} \times 1440 \] Calculating this: \[ \frac{1}{3} \times 1440 = \frac{1440}{3} = 480 \text{ pages} \] ### Step 2: Calculate the number of pages read on the second day. Supriya reads \( \frac{1}{4} \) of the book on the second day. \[ \text{Pages read on the second day} = \frac{1}{4} \times 1440 \] Calculating this: \[ \frac{1}{4} \times 1440 = \frac{1440}{4} = 360 \text{ pages} \] ### Step 3: Find the difference in pages read between the first and second day. Now, we need to find out how many more pages she read on the first day compared to the second day. \[ \text{Difference} = \text{Pages read on the first day} - \text{Pages read on the second day} \] Substituting the values we calculated: \[ \text{Difference} = 480 - 360 = 120 \text{ pages} \] ### Final Answer: Supriya read 120 more pages on the first day than on the second day. ---
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