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Interesting. I got there somewhat differently.x is the number of kids, and y the number of books
x
y
y = x * (x - 4), total number of books x kids should get, andy = (x -2) * (x - 4 + 1), two fewer kids get one more book each for the same total.
y = x * (x - 4)
y = (x -2) * (x - 4 + 1)
ie.
x * (x-4) = (x-2) * (x-3) => x^2 - 4x = x^2 - 5x + 6 => x = 6
Solve for y to get number of books.
Interesting. I got there somewhat differently.
xis the number of kids, andythe number of booksy = x * (x - 4), total number of booksxkids should get, andy = (x -2) * (x - 4 + 1), two fewer kids get one more book each for the same total.ie.
x * (x-4) = (x-2) * (x-3) => x^2 - 4x = x^2 - 5x + 6 => x = 6Solve for
yto get number of books.