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Answer :
Final answer:
Rob ate more of his sandwich than Mike. Rob consumed 2/3 of his sandwich while Mike ate only 1/2 of his sandwich, and 2/3 is greater than 1/2.
Explanation:
The student has asked which person, Rob or Mike, who both had sandwiches of the same size, ate more after dividing and consuming portions of their sandwiches. Rob cut his sandwich into 3 equal parts and ate 2 of them, while Mike cut his into 4 equal parts and ate 2 as well. To determine who ate more, we can compare the fractions of the sandwiches they each consumed.
Rob ate \2/3\ of his sandwich, because 2 parts out of the 3 equal parts he made were eaten. On the other hand, Mike ate \2/4\, which simplifies to \1/2\ of his sandwich, consuming 2 parts out of the 4 equal parts he made.
Comparing these fractions, we see that \2/3\ is greater than \1/2\, meaning that Rob ate more of the sandwich than Mike did.
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