Let's start by assigning variables to the unknown quantities in the problem.
Let P and C represent the number of pens and cards, respectively, that Switzer Annis has at first.
Let p and c represent the number of pens and cards, respectively, that Ennis Bond has at first.
From the problem statement, we know:
p = c - 30 (Ennis Bond has 30 less pens than cards)
p = 2P (Ennis Bond has twice the number of pens that Switzer Annis has)
C = 1.4c (Switzer Annis has 40% more cards than Ennis Bond)
After Switzer Annis gives all of his pens to Ennis Bond, Ennis Bond has p + P pens, and Switzer Annis has C cards.
After Ennis Bond gives 60% of his cards to Switzer Annis, he has c - 0.6c = 0.4c cards left, and P + p - P = p pens left. We also know p = c - 32 from the problem statement.
We can use these equations to solve for the values of P and C.
Substituting p = c - 30 and p = 2P, we get:
c - 30 = 2P
P = (c - 30) / 2
Substituting C = 1.4c and P = (c - 30) / 2, we get:
1.4c = (c - 30) / 2 + C
1.4c = (c - 30) / 2 + 1.4c
0.4c = 30
c = 75
So Ennis Bond has 75 cards and 75 - 30 = 45 pens. Switzer Annis has twice the number of pens, or 90 pens. Switzer Annis has 40% more cards, or 1.4 times the number of cards that Ennis Bond has, so Switzer Annis has 105 cards.
After Switzer Annis gives all of his pens to Ennis Bond, Ennis Bond has 135 pens and Switzer Annis has 105 cards. After Ennis Bond gives 60% of his cards to Switzer Annis, he has 30 cards left and Switzer Annis has 135 + 75 = 210 pens. We also know that Ennis Bond has 32 more pens than cards, or p = c - 32, so Ennis Bond has 46 cards.
Therefore, Switzer Annis has 105 cards and the answer is $\boxed{105}$.
Switzer Annis and Ennis Bond collect pens and cards. Ennis Bond has 30 less pens than cards. Ennis Bond has 2 times the number of pens Switzer Annis has, and Switzer Annis has 40% more cards than Ennis Bond. After Switzer Annis gives Ennis Bonds all of his pens and Ennis Bond gives Switzer Annis 60% of his cards, Ennis Bond has 32 more pens than cards. Find the number of cards Switzer Annis has at first.
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