Question

the $1000 prize for a lottery is to be divided evenly among the winners. Initially there are x winners, but then one more winners comes foward, causing each winner to receive $60less.
Create an equation

Answer 1

initially, the prize is 1000 dollars divided amongst x winners, meaning each person gets winnings, w, equal to:

w = 1000/x

after one more winner comes forward, you still have 1000 but divided amongst x + 1 winners for a share of 1000/(x+1). each person's winnings is now 60 less, meaning

w - 60 = 1000/(x+1)

solving the second equation for w gives us w = 1000/(x+1) + 60

since both equations are now in terms of w, you can now set

1000/x = 1000/(x+1) + 60
and solve for x