The ratio of trainee chefs is 5:3 to delivery men. If the number of trainee chefs are twenty four more than two thirds of the delivery men, how many are delivery men and chefs in total is 5:3?
+128448 Let The number of delivery men = D
Then the number of chefs = (2/3)D + 24
So we have this
(2/3)D + 24 5
_________ = ____ cross-multiply
D 3
3 [ (2/3)D + 24 ] = 5D simplify
2D + 72 = 5D subtract 2D from both sides
72 = 3D divide both sides by 3
24 = D = number of delivery men
And the number of chefs = (2/3)(24) + 24 = 16 + 24 = 40
