Isabella and Mason do maths practice questions every day. One day, Isabella answered 65% of the questions correctly while Mason answered 55% of them correctly. How much better did Isabella perform than Mason?Express your answer as a percentage of Mason's score, rounded to the nearest whole number.
Question
Isabella and Mason do maths practice questions every day. One day, Isabella answered 65% of the questions correctly while Mason answered 55% of them correctly. How much better did Isabella perform than Mason?Express your answer as a percentage of Mason's score, rounded to the nearest whole number.
Solution
First, we need to find out how much better Isabella performed than Mason in terms of percentage points. This is done by subtracting Mason's percentage from Isabella's.
Isabella's score = 65% Mason's score = 55%
So, Isabella scored 65% - 55% = 10% better than Mason in terms of percentage points.
Next, we need to express this difference as a percentage of Mason's score. We do this by dividing the difference by Mason's score and then multiplying by 100 to get the percentage.
So, (10 / 55) * 100 = 18.18%
Rounding to the nearest whole number, we get 18%.
Therefore, Isabella performed 18% better than Mason.
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