Explanation

Assign variables to the two types of doughnuts, and write equations based on the given information:

Number of glazed = G

Number of cream-filled = C

$G + C = 5$ (the number of doughnuts)
$1,640 = 200 G + 360C$ (the number of calories)

The question asks for G, so isolate C in first equation and substitute into the second equation:

$C = 5 - G$

$1,640 = 200G + 360(5 - G)$

$1,640 = 200G + 1,800 - 360G$

$1,640 = 1,800 - 160G$

$-160 = -160G$

$G = 1$

Hence option A is correct!

Check the answer. If Felipe at 1 glazed doughnut, he ate 4 cream-filled doughnuts. He ate (1 × 200) + (4 × 360) = 200 + 1,440 = 1,640 calories.