You think you know ratios?
A student took five papers in an examination, where the full marks were the same for each paper . his marks in these papers were in the proportion 6:7:8:9:10. He obtained part of the total full marks. Then the number of papers in which he got more than 50 % marks is?
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We can write that 6 / x + 7 / x + 8 / x + 9 / x + 1 0 / x = 3 / 5 , where we let x be the full amount of possible points of all 5 papers. Thus 4 0 / x = 3 / 5 and x = 2 0 0 / 3 . Then each test was worth 4 0 / 3 . We are looking for anything above a 2 0 / 3 , which is 50%, which is 6.66666, thus 7, 8, 9, and 10 work and the answer is 4 .