3 mathcounts problems

Jan 4th, 2015
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Mathematics
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Question description

98. Elisa had a new fishbowl but no fish, so Kendell gave her half of his goldfish. Elisa’s fishbowl was not very large, so she gave half of her new goldfish to Rocky. Rocky kept 8 of the goldfish he was given and gave the remaining 10 goldfish to Aster. What is the difference between Kendell’s starting number of goldfish and the number of goldfish Elisa kept for her new fishbowl?

99. In a school that has 20 teachers, 10 teach mathematics, 8 teach social studies and 6 teach science. Two teach both mathematics and social studies, but none teach both social studies and science. How many teach both mathematics and science?

100. A line segment has endpoints (−5, 10) and (a, b). If the midpoint of the segment is (13, −2), what is the absolute difference between a and b?

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