Question #ead56

2 Answers
Dec 27, 2017

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


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.

Dec 27, 2017

$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