Three easy math problems. Can SMP do better than MIT?

[maurile]

Take this quiz

(1) A bat and a ball cost $1.10 in total. The bat costs a dollar more than the ball. How much does the ball cost?

(2) If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?

(3) In a lake, there is a patch of lily pads. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?

Did you get them all right?

Undergrads at elite universities really struggled with them. The percentage of students quizzed at each university who got all three answers right were as follows:

MIT: 48%
Princeton: 26%
Carnegie Mellon: 25%
Harvard: 20%
U.Michigan (Ann Arbor): 14%
Bowling Green: 13%
U.Michigan (Dearborn): 6%
Michigan State: 6%
U.Toledo: 5%

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