两道SAT数学难题.

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　　Read the following SAT test question and then click on a button to select your answer.

　　1、The population of Norson, the largest city in Transitania, is percent of the rest of the population of Transitania. The population of Norson is what percent of the entire population of Transitania?

　　Answer Choices

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　2、A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are seniors, juniors, and sophomores who applied. Each senior&aposs name is placed in the lottery times; each junior&aposs name, times; and each sophomore&aposs name, time. What is the probability that a senior&aposs name will be chosen?

　　Answer Choices

　　(A)

　　(B)

　　(C)

　　(D)

　　(E)

　　Explanation

　　1、The correct answer is D

　　Let equal the population of Norson, and let equal the entire population of Transitania. Theis the population of the rest of Transitania.

is of ., or .

　　This gives , or .

　　So the population of Norson is one third, or , of the entire population of Transitania.

　　2、The correct answer is D

　　To determine the probability that a senior&aposs name will be chosen, you must determine the total number of seniors&apos names that are in the lottery and divide this number by the total number of names in the lottery. Since each senior&aposs name is placed in the lotterytimes, there are seniors&apos names. Likewise, there are juniors&apos names and sophomores&apos names in the lottery. The probability that a senior&aposs name will be chosen is .

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