Question

Alice reads an equal number of pages of a storybook each day. After 8days, she has 5/6 of the storybook left to read. Another 4days, she has 180 pages left. How many pages are the in the storybook?

Answer 1

x = numbers of pages in the storybook


5 / 6 of the storybook left to read mean:

After 8 days, Alice read:

x - 5 x / 6 of the storybook


x - 5 x / 6 =

6 x / 6 - 5 x / 6 =

x / 6


After 8 days Alice read x / 6 of the storybook.



x / 6 per 8 days

( x / 6 ) / 8 =

x / 6 ∙ 8 =

x / 48 pages per day


She read:

x / 48 pages per day


For another 4 days she read:

4 ∙ x / 48 =

4 x / 4 ∙ 12 =

x / 12

of the storybook.


Totaly she read:

x / 6 + x / 12 =

2 x / 2 ∙ 6 + x / 12 =

2 x / 12 + x / 12 =

3 x / 12 =

3 x / 3 ∙ 4 =

x / 4

Totaly she read x / 4 of the storybook.


Pages left:

x - x / 4 =

4 x / 4 - x / 4 =

3 x / 4


( 3 / 4 ) x pages left


180 pages left mean :

3 x / 4 = 180

Multiply both sides by 4

3 x = 4 ∙ 180

3 x = 720

Divide both sides by 3

x = 720 / 3 = 240


240 pages


Proof:

She read:

x / 48 pages per day =

240 / 48 = 5 pages per day


After 8 days she read:

8 ∙ 5 = 40 pages

After next 4 days she reed:

4 ∙ 5 = 20 pages


Totaly she read:

40 + 20 = 60 pages

Pages left:

240 pages - 60 pages = 180 pages

Answer 2

A share of stock in a certain company is selling at Php . Find the cost of one share of stock rounded to the nearest hundredths.