Question

Question #ead56

Answer 1

`465/2=232.5`

Explanation:

What is 3/4 `color(red)(of)` $310. In math, the word `color(red)(of)` usually represents mupltiplycation of these two numbers:
`3/4xx310=930/4`

We can simplify that:
`=>3/(2xxcancel2)xx155xxcancel2=3/2xx5xx31` and that's it, can't be simplified any more

`=>(3xx155)/2=465/2=232.5`

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Another way(needen't to use, too difficult)
if `3/4=0.75`
and `$310`...represents 100% or 1

then:
`310..........1`
`(x.............0.75)/`
`x/310=0.75/1`

`x=0.75xx310`

But it `0.75=3/4` then `x=3/4xx310` and that's what we used above in the first place.

Answer 2

`$232.50`

Explanation:

Note that `3/4` is the same as `3xx1/4`

So when we put all this together we have:

`color(blue)(3)color(red)(xx1/4xx$310)`

but `color(red)(1/4xx$310)` is the same as `$310` 'split up' into 4 equal sized counts and we have just 1 of them. In that we have just 1 of the `color(green)($77.50)` from `$77.50+$77.50+$77.50+$77.50 = $310`

so `color(white)("ddd")color(red)(1/4xx$310)color(green)(=$77.50)`

So `color(blue)(3)color(red)(xx1/4xx$310)` is the same as

`color(white)("dd.")color(blue)(3)color(green)(xx$77.50)=$232.50`