Percentage counts the value out of total value as count per 100 (cent = 100). The percentage of money Judith spend is given by: Option (b) 90%
How to find the percentage from the total value?
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]
For the given case, the percent part $45 is of $50 is assume to be x%
Then we have:
$45 = x% of $50
or
[tex]45 = \dfrac{50}{100}\times x\\\\45 = \dfrac{1}{2} \times x\\\\\text{Multiplying 2 on both the sides}\\\\90 = x\\\\x= 90[/tex]
Thus, $45 is 90% of $50.
Thus, The percentage of money Judith spend is given by: Option (b) 90%
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