Mimi's Market sold 24 heads of lettuce one morning. That afternoon 2/7 of the remaining heads of lettuce were sold. The number of heads left was now 1/2 of the number the market had at the beginning of the day. How many heads of lettuce were there at the beginning of the day?

Answer 1

X = # heads to begin the day.

(X-24) = Bal. after morning sale.

(2/7)*(X-24) sold during afternoon.
Bal. = (5/7)*(X-24) = X/2
(10/7)(X-24) = X
(10x-240)/7 = X
10x - 240 = 7x
10x - 7x = 240
3x = 240
X = 80

Answer 2

243