A Boy read 3/8 of the book on one day and 4/5 of the remainder on the other day if there were 30 pages unread,how many pages did the book contain?
Answers
Answered by
422
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
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
Answered by
140
Answer:
240
Step-by-step explanation:
Total page = x
1 day = 3/8
=1-3/8
By take LCM
8/8-3/8
=5/8
No. of page read on second day
5/8×4/5
=1/2
Let , one day =3x/8
Another day =1x/2
Total =
3x/8 + x/2
By take LCM
3x+4x/8
=7x/8
Let, total page = x
x-7x/8
By take LCM
8x-7x/8
1x/8=x/8
Total day i.e first and another day = remaining page
x/8=30
x=30×8
x=240
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