Nigel's Novel

Let us take the total number of pages in the book as $x$ .

So, from the question, we have the data that Nigel reads $15$ pages each day, so from that we can say that he reads $(15\times 6)=90$ pages in $6$ days. So, he has completed reading $90$ pages till now.

Now, it is also said that $3/8$ of the book is left to read. That means he has $\large \frac{3}{8}x$ pages of the book left to read. So, we can say that the pages which has been read by him is $\large (x-\frac{3}{8}x)=\frac{5}{8}x$ . So, now we can set up an equation like this --->

$\frac{5}{8}x=90 \implies x=\frac{90\times 8}{5} \implies x=\boxed{144}$

So, total no. of pages in the book $=x=\boxed{144}$

Let total number of pages is y so, y (1 – 3/8) = 15 x 6 Or, 5y/8 = 90 Or, y = (90 x 8)/5 Or, y = 144

(15*6)= 90

(90/5)*8

You can solve this using a simple proportion:

$\frac{90}{x}=\frac{5}{8} \\ 5x=720\\ x=144$

I just divide the numbers in the answer choices with 8. I found 144 is the only number in the choices which can be divided with 8. Haha :D

X 5/8=15 6,X 5/8=90, X=90 8/5 X=18*8 X=144

suppose total number of pages in book is X ; then after 6 days he read 6*15=90 page of book; after 6 days ; 90+(3X/8)=X ; X=144

15 pages a day. 90 pages for 6 days.

90 days is 5/8 of the book.

90/5=18 is 1/8 of the book

18*8=144 is the total number of pages in the book.

Hello,

let x = total number of pages ,

as he read in 6 days,3/8 of the book is left to be read....

x - [15(6)] = (3/8) . x

x - 90 = 3x/8

8(x-90) = 3x

8x - 720 = 3x

5x = 720

x = 720 / 5 = 144

therefore, there are 144 pages....

90+3/8 x=x 90=5/8x x=90*8/5 x=720/5 x=144pg

In 6 days he read: 15 x 6 = 90 pages; equal to 5/8 of the total pages

=> 3/8 of the total pages = 54

Answer: 90 + 54 = 144

Suppose there are X number of pages,3/8 th book was left after reading 15 pages each day for 6 days that is 90 pages.So equation is X-3/8 X = 90 and so X is 144 pages Ans

K.K.GARg,India

Easy, I just set up a cross multiply and divide equation.

So if he reads $15$ pages a day for $6$ days, that would be $15 \times 6 = 90$ . We now know how many pages he has read thus far.

The problem says he has $\frac { 3 }{ 8 }$ of the book left. So the whole would be $\frac{8}{8}$ or in other words the book is $\frac{8}{8}$ long. So the whole ( $\frac{8}{8}$ ) minus the part already read $\frac{3}{8}$ gives us the part of the book he has read $\frac{5}{8}$ . Since he has read $90$ pages, we can say that $90 = \frac{5}{8}$

Now we can set up the equation.

$\frac { 5 }{ 8 } =\frac { 90 }{ x }$

In the above equation, $x$ represents the whole, or the total number of pages in the book.

Use the cross-multiply-and-divide technique to first multiply $5 \times x = 5x$ , then $8 \times 90$ . Then simplify to an equation and you get...

$5x = 720$

Divide both sides by 5.

$\frac {5x}{5} =\frac {720}{5}$ $\Rightarrow$ $x = \boxed {144}$

Since we said $x$ represented the number of pages in the book, there are $144$ pages in the book

(1-3/8)x=90 x=144

Let total pages be x. Left : 3x/8 Read : x-3x/8= 5x/8 Total pages : 15*6=90 So, 5x/8=90 Thus, x=144

Total pages he read in 6 days =15*6=90 Let the no. of pages be x then A.T.Q. 3/8 of x +90=x x=144

Linear equation.... N let x pages be thr X-3/8x=90pags.... We get 144 pages

15*9+3/8(x)=x (where x is the total number of pages) => x= 144

15 pages * 6 days = 90 pages completed Let x be the total pages of the book. 90/x = 5/8 x=144

8/5 × 90 = 144

Lets imagine, the total number of pages of the book=1....After 6 days Nigel had 3/8 part left..he read=(1-3/8)=5/8 part...He read 5/8 part in 6 days..He reads 15 page in 1 day that is he will read=90 pages in 6 days....5/8 part=90 pages...that is 1 part will be=144 pages

\frac{5X}{8}=90 X=144

Let the total number of pages be -x

(Stated)3/8 of book is left

                 &

After reading 15 pages a day for 6 days

no.pages completed will be - 15 * 6 = 90

                  &

5/8 part of the book has been read

So,

5/8 * x = 90

x = (90 * 8)/5

x = 144

Thus,

The total number of pages = x or 144 pages

The answer is 144 pages