For the first two strategies I used proportions to find the number of missed questions. Since the student answered 85% of the questions correctly, they answered 15% of the questions incorrectly. Using proportions I was able to determine that 15% of 60 is 9 missed questions. For the second strategy I found the number of correct questions first. Once again using proportions, I determined that 85% of 60 is 51. The student therefore answered 51 out of the 60 questions correctly. I used subtraction to find the number of remaining questions that were missed.
For the third strategy I used an equation. I determined the number of correctly answered questions first. Once again this left the student with 9 missed questions remaining. The equation could have also been used to find the number of missed questions using 15% instead of 85%.
For the last strategy I determined that 10% of the 60 questions was 6 questions. I did this by moving the decimal point one place to the left. I need 8 sets of 10 to reach 80%. I multiplied 6 times 8 to get 48 questions. I still needed 5 more percent to reach 85% and I knew that 5% would be half of 10%. By dividing 6 by 2 this gave me 3 more correctly answered questions. By adding 48 and 3 the student gets a total of 51 correctly answered questions. Once again this leaves us with 9 incorrect questions out of the 60 questions on the test.
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