Instead of multiplying by 1.4, Sue should have multiplied by 1.04. Bill can decrease 160 by 6% by multiplying 160 by 0.94
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
So, firstly, Sue wanted to increase 160 by 4%
Increased value = 160 + 4% of 160
Now, 4% of 160 is calculated as:
[tex]\dfrac{160}{100} \times 4 = 160 \times 0.04[/tex]
Thus, we get:
[tex]\text{Increased value} = 160 + 160 \times 0.04 = 160(1 + 0.04) = 160 \times 1.04[/tex]
Thus, instead of multiplying by 1.4, Sue should have multiplied by 1.04
Now, Bill wants to decrease 160 by 6%
Decreased value = 160 - 6% of 160
Now, 6% of 160 is calculated as:
[tex]\dfrac{160}{100} \times 6 = 160 \times 0.06[/tex]
Thus, we get:
[tex]\text{Decreased value} = 160 - 160 \times 0.06 = 160(1 - 0.06) = 160 \times 0.94[/tex]
Thus, Bill can decrease 160 by 6% by multiplying 160 by 0.94
Thus, instead of multiplying by 1.4, Sue should have multiplied by 1.04. Bill can decrease 160 by 6% by multiplying 160 by 0.94
Learn more about percent here:
https://brainly.com/question/11549320
