Question

What is `11 3/2%` of $800?

Answer 1

See a solution process below:

Explanation:

First, to make this problem easier to work, convert the mixed number percentage to a decimal:

`11 3/2 = 11 + 3/2 = (11 xx 2/2) + 3/2 = 22/2 + 3/2 = 25/2 =`

`12.5`

We can now rewrite this problem as:

What is `12.5% " of " $800?`

"Percent" or "%" means "out of 100" or "per 100",

Therefore `12.5%`can be written as `12.5/100`.

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the number we are looking for "n".

Putting this altogether we can write this equation and solve for `n` while keeping the equation balanced:

`n = 12.5/100 xx $800`

`n = ($10000)/100`

`n = $100`

`color(red)($100)` is `11 3/2% " of " $800`.

Answer 2

`$100`

Explanation:

The question is very strange, fractions are normally either mixed or improper, not a combination of both. We will do the same anyway.

`11 3/2% xx 800`

`= (25/2)/100 xx 800 = 25/(2xx100) xx800`

`= 25 xx 4`

`= $100`

We could also write this as:

`11 3/2% = 12 1/2% = 1/8`

`1/8 xx$800 = $100`