Question

Ink in a pen will last for 12 pages where each page has 32 lines.how many pages will half the ink last if there are 48 lines per page and there are now 20% less letters than earlier case

Answer 1

Answer:

5

Step-by-step explanation:

let the number of pages which will half the ink be p

now the total ink which will get consumed when the number of pages are 12 =12(total number of pages)X32(no of lines per page)X100(100% ink will consumed)    ----------- (take this as first equation)

now in the second the ink consumed is half and there are only 48 lines per page and ink consumed will be 20% less than in the previous case so,(100-20)=80% ink consumed in this case

now the ink cosumed in this case will be (pX48X80)/2 ----------(second equation)

now equating both equation,we'll get

12X32X100 = (pX48X100)/2

p=5

Answer 2

The ink will last for 5 pages.

Step-by-step explanation:

Let the number of words in each line = 100

each page contains number of lines = 32

Total words in 12 pages = 12 × 32 × 100 = 38,400

In second case, each page contains the number of lines = 48

words in each line are now 20% less = 100 -(20% × 100)

                                                             = 100 - 20

                                                             = 80 words

Let the number of pages in second case = n

Total words in n pages = 48 × 80 × n

But the ink is half so,

48 × 80 × n = $\frac{38400}{2}$

3840n = 19200

n = $\frac{19200}{3840}$

n = 5

The ink will last for 5 pages.

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