Question
The ratio of marks obtained by Ashpreet and Bhupinder on
an exam is 6 : 5. If the combined average of their percentage scores is
68.75%, and the sum of their marks is 275, what was the exam out of?
an exam is 6 : 5. If the combined average of their percentage scores is
68.75%, and the sum of their marks is 275, what was the exam out of?
Answers
Anonymous
Let the marks the exam was out of be z. Let Ashpreet's mark out of z be x and Bhupinder's mark out of z be y.
Hence, x/z x 100 is Ashpreet's percentage and y/z x 100 is Bhupinder's percentage. 68.75% is equivalent to 0.6875, so we can set up the equation: (x/z + y/z)/2 = 0.6875. Multiplying both sides by 2, x/z + y/z = 1.375.
We know the total marks is 275, and since the common denominator is z x/z + y/z can become (x+y)/z. x+y is 275, so rearranging the equation:
275/z = 1.375
275=1.375z
z=275/1.375
z=200.
The exam was out of 200.
Hence, x/z x 100 is Ashpreet's percentage and y/z x 100 is Bhupinder's percentage. 68.75% is equivalent to 0.6875, so we can set up the equation: (x/z + y/z)/2 = 0.6875. Multiplying both sides by 2, x/z + y/z = 1.375.
We know the total marks is 275, and since the common denominator is z x/z + y/z can become (x+y)/z. x+y is 275, so rearranging the equation:
275/z = 1.375
275=1.375z
z=275/1.375
z=200.
The exam was out of 200.