Math question?

Solution M=1.1Y N=1.2X MN=(1.1Y)(1.2X) MN=1.32XY Therefore MN is 32% greater than XY.

Here, we have said that m is 10% greater than y. Mathematically we can write this as the statement m = (1 + 10/100) y = (1 + 0.1) y = 1.1y That 10% translates to 10 parts in 100. Likewise, n we are told that n is 20% greater than x.

Write this using mathematics. N = (1 + 20/100) x = (1 + 0.2) x = 1.2x Now, form the product mn.Mn = (1.1y) (1.2x) We can simplify this a bit, since 1.1 times 1.2 is just 1.32. Mn = 1.32 xy So, how is the product mn related to the product xy?

It is 1.32 times as large.Mn = (1 + .32) xy = (1 + 32/100) xy So mn is 32% larger than xy. Sources: en.wikipedia.org/wiki/Percentage .

Rewrite "+ x%" as "× (1+x/100)" For example, if m is y + 10%, then it is also y×(1+10/100), or y×1.10. Similarly, if n is x + 20%, then it is also x×(1+20/100), or x×1.20. Therefore, mn is (y×1.10)(x×1.20), or xy×1.32. You can then convert back the other way, by turning ×1.32 into +32%.

Therefore, mn is xy + 32%, or 32% greater than xy.

1 Well here is how I see it:m=y+10%y =y+0.1yn=x+20%x =x+0.2xmn=(y+0.1y)(x+0.2x)mn=xy+0.32xyIt must be 32%.

Well here is how I see it:m=y+10%y =y+0.1yn=x+20%x =x+0.2xmn=(y+0.1y)(x+0.2x)mn=xy+0.32xyIt must be 32%.

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