a boy read 3/8th of the book on one day and4/5th of the remainder on another day. if there were 30 pages unread, how many pages did the book contain?
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After reading 3/8 of the book, the remaining fraction 1 - 3/8 = 5/8
The boy then reads 4/5 of 5/8 = 4/5 x 5/8 = 1/2
Total fraction read = 3/8 + 1/2 = 7/8
The unread fraction = 1 - 7/8 = 1/8 This is equivalent to 30 pages
∴ The book has 30 ÷ 1/8 = 240 pages
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The boy then reads 4/5 of 5/8 = 4/5 x 5/8 = 1/2
Total fraction read = 3/8 + 1/2 = 7/8
The unread fraction = 1 - 7/8 = 1/8 This is equivalent to 30 pages
∴ The book has 30 ÷ 1/8 = 240 pages
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Answer:
Let the total pages be 'x' in number.
According to condition 1:
3/8*x read on first day.
So remaining pages will be :
1-3/8*x
=5/8*x
According to condition 2:
Read 4/5 of remaining
So left unread =1/5 of remaining
Therefore remaining at last=1/5 * 5/8*x
=1/8x
Unread=30
Therefore:1/8*x = 30
>> X=240.
Therefore total page is240
Step-by-step explanation:
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