Eduardo had 16 more stamps than carson. 1/2 of carson's stamps were equal to 1/4 of eduardo's stamps. a. how many stamps did eduardo have? b. after eduardo gave away some stamps, he had 3/8 as many stamps as carson. how many stamps did eduardo give away?

Solution:
Part: 1
Let the number of stamps with Carson = x and Eduardo = y

So, equation as per given information:

y = x + 16  -- equation 1
1/2x = 1/4y  --equation 2

Through equation 1, we get value of y as x+16

Putting this value of y in equation 2,
1/2x = 1/4 (x+16)

4x = 2(x+16)
4x = 2x+32

By solving, we get x = 16

So, Carson has 16 stamps. And, Eduardo has 16 stamps more than Carson which means Eduardo has 16+16 stamps which gives 32 stamps.

Carson = 16 stamps
Eduardo = 32 stamps.

Part: 2

After giving some stamps, Eduardo has 3/8 of Carson's stamp

3/8 of 16 stamps = 6 stamps

So Eduardo now has 6 stamps.

Initially Eduardo had 32 stamps and he now have 6 stamps. So, 32-6 = 26 stamps have been  given by Eduardo.

Eduardo gave 26 stamps.