Can anyone figure this out.

4 2/3.

Looks like 14/3. (The last comma is confusing)
1 cow eats 1 bail in 3/2 days. So in 7 days the cow eats 7 divided by 3/2.

In what time frame ? A cow eats one and one fourteenth bales a day.

3 1/3 in 7 days

1.5x = 1.5z + .5(7)

Let us know the right answer and HOW the answer was reached.

This a very important point: "[A]nd a half for seven days," still refers to 1.5 cows.

V1 = 1.5Bail/1.5Cow/day = 1bail/cow/day => 1B/C/D

V2 = 0.5B/1.5C/7D = 1/21 B/C/D

V1 + V2 = T

1B/C/D + 1/21 B/C/D = 1&1/21 B/C/D

Answer:

One cow would eat 1 & 1/21 bails per day.