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10) 11) 12) 13) Two towns, A and B, are connected by a road. At sunrise, Emely begins biking from A to B, and Dinah

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10) 11) 12) 13) Two towns, A and B, are connected by a road. At sunrise, Emely begins biking from A to B, and Dinah begins biking from B to A. They ride at constant (but different) speeds, and they pass each other at noon. Emely reaches B at 5:00 pm while Dinah reaches A at 8:00 pm. When was the sunnse? Forty-one students each took an exam in math, biology and chemistry. 0 12 students failed the math exam o 5 students failed the biology exam 0 8 students failed the chemistry exam 0 2 students failed both the algebra and the biology exam 0 6 students failed both the algebra and the chemistry exam 0 3 students failed both the biology and the chemistry exam 0 1 student failed all three exams. How many students passed all three exams? Sven placed exactly in the middle among all runners in a race. In 10th place, Dan placed lower than Sven, and Lars was in 16\"1 place. How many runners were in the race? A farmer visits his barnyard to nd that the cows and the roosters are socializing. He counts a total of 88 legs in the barnyard. (i) Find a general formula that gives all possible sets of cows and roosters that the farmer could have seen. (ii) Realizing that he cannot determine the exact number of cows and roosters, the farmer also counts 32 heads in the barnyard. How many cows and roosters are in the barnyard? A woman bought a horse for PhP30,000 and then sold it for PhP40,000. She bought it back for PhP50,000 and then sold it again for PhP60,000. How much did she gain or lose on these transactions

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