Meiling and meimei divide $69 to 2 shares.

3/4 meiling's share is equal to 2/5 of meimei's share. how much do they each get

let their shares be x and 69-x

then (3/4)x = (2/5)(69-x)
cross-multipy , (or multiply both sides by 20)
15x = 8(69-x)
15x = 552 - 8x
23x = 552
x = 552/23 = 24

one gets $24 , the other gets 69-24 or $45

check:
(3/4)(24) = 18
(2/5)(45) = 18 , looks good