+151 A shop had a number of T-shirts for sale. After selling 72 of them in the morning and 4/9 of the remainder in the afternoon, it was left with 1/3 of the T-shirts. How many T-shirts were sold altogether?
let the total no. of t shirts be n.
sold in morning = 72
sold in noon = 4/9 (n - 72)
The shirts left = 1/3n
Next, n = {72 + 4/9 (n - 72) + 1/3 n}
n = (72 + 4n/9 - 288/9 + 1/3n
n/1 ((648 - 4n - 288 + 3n)/9) => (9n - 7n) = 360
=> 2n = 360 => n = 180
total t shirts = 180 => t shirts sold = (180 * 2/3)
=> (60 * 2) => 120
