Question

Angela had $6w. AFter buying some books at $17 each, she had $w left.

(a) Find the number of books Angela bought in terms of w.
(b) If w = 34, how many books did Angela buy?

Answer 1

Initially, Anglea has $6*w in total.

Then she buys N books, at $17 each, then the total cost of the books is: N*$17

After that, she had left $w.

a) This means that:

$6*w - N*$17 = $w

Now we can isolate the variable N in one side of the equation:

N*$17 = $6*w - $w = $5*w

N = ($5/$17)*w

N = (5/17)*w

That is the equation that tells the number of books Angela bought in terms of w.

b) Now we just need to replace the w by 34 in the above equation:

N = (5/17)*34 = 10

If w = 34, Angela bought 10 books.