passing marks

Algebra Level 2

Janmeet's mathematics test had 85 problems, which contains 20 algebra, 30 statistics and 35 geometry problems. He answered 70% of algebra, 40% of statistics and 60% of geometry problems correctly. He did not pass test because he got less than 60% of problems correct. How many more problems he would have need to answer correctly to earn 60% passing grade?

2 3 4 1

Sara Sharma by sara sharma , 18, India

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2 solutions

Ifunanya Nwogbaga
Aug 25, 2014

20(0.7) + 30(0.4) + 35(0.6) = 47 problems correct. 85(0.6) = 51 questions needed to get a 60%. Because he had 47 questions correct, he will have needed four more to pass with a 60%.

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There are 85 85 problems. He answered 0.7 ( 20 ) + 0.4 ( 30 ) + 0.6 ( 35 ) = 14 + 12 + 21 = 47 0.7(20)+0.4(30)+0.6(35)=14+12+21=47 problems. So we have

47 + x 85 = 0.6 \dfrac{47+x}{85}=0.6 ⟹ \implies 47 + x = 51 47+x=51 ⟹ \implies x = 4 \color{#D61F06}\boxed{x=4}

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