Question

417 pages in 3 days = ______ pages in 9 days

Answer 1

Answer:

The answer will be 1251 pages.

Step-by-step explanation:

We have given ;

                 x1 = 417;

                 y1 = 3;

                 y2 = 9;

and,        x2= asked pages that we have to find;

Here, if days will increase  then he will read more which means that when days are increasing then pages are also increasing. Simply we can call it directly proportional.

Hence, formula for this is

                          (x1) / (y1) = (y1) / (y2);

Now, put all the required given numbers;

                            (417) / (3)=(x2) / (9);

                              139 * 9= (x2);

                               x2 = 1251;

That's all.

Answer 2

417 pages in 3 days = 1251 pages in 9 days

Given :

417 pages in 3 days = ______ pages in 9 days

To find :

To fill in the blank

Solution :

Step 1 of 2 :

Form the equation to find the number of pages

Let 417 pages in 3 days = n pages in 9 days

Now number of pages and number of days are in direct proportion

So by the given condition

$\displaystyle \sf 417: 3= n:9$

Step 2 of 2 :

Find the number of pages

$\displaystyle \sf 417: 3= n:9$

$\displaystyle \sf{ \implies }\frac{417}{3} = \frac{n}{9}$

$\displaystyle \sf{ \implies }3n = 417 \times 9$

$\displaystyle \sf{ \implies }n = \frac{417 \times 9}{3}$

$\displaystyle \sf{ \implies }n = 1251$

Hence , 417 pages in 3 days = 1251 pages in 9 days

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