Question

Paulo's economics course requires two papers ? ?one long and one short ? ?throughout the semester. The number of pages, l l, in the long paper is one more than two times the number of pages, s s, in the short paper. If the total number of pages for both papers is 4 0 40, how many pages must be in the long paper?

Answer 1

Answer:

27 pages.

Step-by-step explanation:

Let l be the number of pages in the long paper and s be the number of pages in the short paper.

We have been given that the total number of pages for both papers is 40. We can represent this information in an equation as:

$l+s=40...(1)$

We are also told that the number of pages in the long paper is one more than two times the number of pages in the short paper. We can represent this information in an equation as:

$l=2s+1...(2)$

We will use substitution method to solve system of linear equations.

From equation (1) we will get,

$s=40-l$

Upon substituting this value in equation (2) we will get,

$l=2(40-l)+1$

$l=80-2l+1$

Upon adding 2l to both sides of our equation we will get,

$l+2l=80-2l+2l+1$

$l+2l=80+1$

$3l=81$

Let us divide both sides of our equation by 3 we will get,

$\frac{3l}{3}=\frac{81}{3}$

$l=27$

Therefore, there must be 27 pages in the long paper.