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This question is asking us to split up the fraction into two separate fractions.
To begin we use one of the standard forms for solving partial fractions, this is (A/(X+1))+(B/(X+2)).
To solve set the first equation equal to the standard form and then solve as shown below.
We can solve this equation by substituting in values for X, shown below:
The second bracket is cancelled out and so we are left with:
The first bracket is cancelled out and so we are left with:
Putting all of this back together gives:
Apologies for the style of the equations the website currently doesn’t support words equation editor.see more
To work this out we need to calculate the percentage of boys in year 10 and year 11. Then we can compare them to find which year has the greater proportion of boys.
For Year 10 there are 110 boys out of 200 students so we find the fraction and multiply it by 100 to get a percentage, shown below:
For Year 11 there are 140 boys out of 250 students so we do the same as above and then compare the values, shown below:
therefore there is a higher proportion of boys in year 11 as 56%>55%.see more