Question

the ink in a pen lasts 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 per line.

Answer 1

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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