# Math

if Mo reads 2/5 of her book on Monday then 1/2 of the remaining pages on Tuesday then 5/9 of the remaining pages on Wednesday the nthe remaining pages on Thursday plus reads 68 more pages on Tuesday then Wednednesday how many pages in the book

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1. Mon read 2/5, leaving 3/5
Tue read 1/2 * 3/5 = 3/10, leaving 1/10
fix your missing numbers and then you can do the subtraction to find the total.

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MONDAY Read 204 (2/5) Remaining 306
TUESDAY Read 153 (1/2 of 306 3/5) Remaining 153
WEDNESDAY 85 (5/9 of 153) Remaining 68
THURSDAY 68
Tuesday is 68 more than Wednesday 85 + 68

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3. Total No of pages = x
Monday = 2/5 x (remaining pages are 3/5 x)
Tuesday = 1/2 of 3/5 x = 3/10 x
Rem pages on Tuesday
= 3/5 x - 3/10 x
= 3/10 x
Wednesday = 5/9 of 3/10 x = 1/6 x
Now
Wed + 68 = Tues
1/6 x + 68 = 3/10 x
3/10 x - 1/6 x = 69
(9-5)x/30 = 68
x = (68 *30)/4

Proof

(1/6) * (510) +68 = (3/10) * 510
153 = 153

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4. Mon 2/5 remainder 3/5
Tues half of 3/5 (6/10)=3/10
Wed 5/9 - ( 3/10 x5/9) criss cross simplify (1/2x1/3= 1/6) but 68 less than Tues
3/10 - 1//6 (common denominator =30) 9/30 - 5/30 = 4/30 = 68 (68 divided by 4=170 1/30 =17)
2/5=12/30 (12x17=204 Mon) - 3/10=9/30 (9x17=153 =Tues) - 1/6=5/30 (5x17=85 Wed or 153-68=85)
as there were 4/30 left ( 4x17=68) 204+153+85=442+68=510

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5. 4/5 of the book

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