On the first day, Claude read half the book. On the second day, he read three eighths more, and 40 pages remained. How many pages were there in the book?
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4
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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
bhaveshmalviya43115:
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Answered by
3
Step-by-step explanation:
LET THE TOTAL NUMBER OF PAGES BE X .
THEREFORE ;
ACCORDING TO THE CONDITIONS ,
FIRST DAY ,
PAGES READ = X/2
SECOND DAY ,
PAGES READ = X/2 + 38
ACCORDING TO THE CONDITIONS ;
X - X/2 - 38 = 40
X - X/2 = 78
(2X - X) / 2 = 78
X / 2 = 78
X = 78 × 2
X = 156
THE TOTAL PAGES IN THE BOOK WERE 156 .
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