Are the math sentences the same ?

Question

1. 3/5 of the cookies were chocolate chip cookies.
2. 3/5 of the total number of cookies were chocolate chip cookies.
3. 3/5 of the total cookies were chocolate chip cookies.

Let the total number of cookies be n and number of chocolate chip cookies be c. Thus, c = 3/5 n.

Are all the 3 sentences on fraction the same because they form the same equation c = 3/5 n ? Thanks a lot.

Answer 1

Yes. they're all the same,

mathematically, they are linearly dependent. You have 2 unknown variables and 1 equation. You can't solve for either variable, without more information.

Graphically, they are all the same line, slope 3/5 and y intercept (or c intercept) = 0, or the origin (0,0)