ExplanationAssign 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.
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