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Solution
To get rid of the fraction, multiply both sides of the equation by 3: 3x = 2(x + y). use the distributive law to get rid of the parentheses:

3x = 2x + 2y. Subtract 2x from each side: x = 2y. The answer is (D).

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Solution
This is a repeating sequence with 3 terms (1, 2, 3)in the set that repeats. Since the sum of the 3 numbers in each set is 6, the sum of the first 33 set or 99 terms is 6 × 33 = 198. Since the next term is 1, the sum of the first 100 terms is 199. The answer is (D).

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Draw a Venn diagram. Since 10 seniors are both in band and orchestra, 30 are in band only and 50 are in orchestra only. Therefore, 10 + 30 + 50 = 90 seniors are in at least one group, and the remaining 110 are in neither. The answer is (D).

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Solution
Let 4x and 3x be the number of students taking and not taking Spanish, respectively. Then 4x + 3x = 840 ⇒ x = 120. The number taking Spanish is 4(120) = 480. The answer is (C).

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Solution
Since the diameters of the tables are in the ratio of 35:25 or 7:5, the ratio of their areas is 7²:5² = 49:25. Convert the ratio to a percent: 49:25 =49/25 = 196/100= 196%. The area of the larger table is 196% of the area of the small one, or is 96% more than the area of the small one.
The answer is (96).