Question by maddie: How many women were in the group and how much was the speaker paid?
A group of women decided to contribute equal amounts toward obtaining a speaker for a book review. If there were 10 more women, each would have paid 2 dollars less. However if there were 5 less women, each would have paid 2 dollars more. How many women were there and how much was the speaker paid?
Best answer:
Answer by bdwolfhound
Let there be n women paying $ q each.........
Total paid = $ nq
(n+10)(q-2) = nq +10q-2n-20 = $ nq; 10q-2n = 20
(n-5)(q+2) = nq - 5q +2n -10 = $ nq; - 5q +2n =10 Multiply by 2 and add to the above expression
10q - 2n = 20
-10q+4n = 20
------------------
2n = 40
n = 20 and q = $ 6, so nq =$ 120
Know better? Leave your own answer in the comments!
Related How Many Were Articles
