Mo is reading a book . On Monday he reads 2/5 of the book . On Tuesday he reads 1/2 of the remaining pages . On Wednesday he rea

Question

3 years ago

11

Mo is reading a book . On Monday he reads 2/5 of the book . On Tuesday he reads 1/2 of the remaining pages . On Wednesday he rea

ds 5/9 of the remaining pages . On Thursday he reads the rest of the book . Mo read 68 more pages on Tuesday than Wednesday . How many pages are there in the book

Mathematics

1 answer:

PtichkaEL [24] · Answer 1 · 2022-05-23T07:07:38+03:00

The total pages in the book are 510.

Step-by-step explanation:

Lets say, the total pages are x

Mo read the book with following proportion.

Monday: 2/5.x

Pages left: 1.x - 2/5.x = 3/5.x

Tuesday: 1/2.x of 3/5.x = (1/2.x) . (3/5.x) = 3/10.x

Pages left: 3/5.x - 3/10.x = 3/10.x

Wednesday: 5/9.x of 3/10.x = (5/9.x) . (3/10.x) = 1/6.x

Thursday : ?

Lets say the total proportion is 1. The proportion of book read on Thursday can be calculated as:

1.x - 2/5.x - 3/10.x - 1/6.x = 2/15.x

Also given, Mo read 68 more pages on Tuesday than Wednesday.

Therefore,

3/10.x - 1/6.x = 68

2/15x = 68

x = 510

Therefore, the total pages in the book are 510.