The ratio of dina’s bathing suits to yana’s bathing suits was 4: 1. after dina threw out 26 of her bathing suits, she had 2 less than yana. how many bathing suits did dina have at first?

Dina : Yana : Difference 
4 :1 : 4-1
4: 1: 3

she threw away 26 and is now 2 less (which means if she has threw away 24, they wil have the same)

Given from the ratio above, the difference is 3 parts
3 parts = 24
1 part = 24 ÷ 3 = 8
4 parts = 8 x 4 = 32

Dina had 32 at first

All it is, is 4:1 - 2
The answer is 
Decimal form: 3.5
Mixed number form: 3 1/2
Fraction form: 7/2

6/9 i need more characters in my answer