Question

The ratio of the number of cheesecakes to the number of mango cakes was 3:2. After Baker Lam sold 144 cheesecakes, the ratio became 3:5.
A) How many cheesecakes did Baker Lam bake at first?
B)Baker Lam decided to deliver the remaining cakes to 4 charity homes. How many cakes did each home receive?

Answer 1

if there were c cheesecakes and m mangocakes,

c/m = 3/2
(c-144)/m = 3/5

c = 240
m = 160

check:
240/160 = 3/2
96/160 = 3/5

after the sales, there were 96+160 = 256 cakes

divide that by 4 to get the number for each home.

Answer 2

24