Question

A students tuition was $2520. A loan was obtained for `2/5` of the tuition. How much as the loan?

Answer 1

`$1008.00" "` Lot of detail given.

Explanation:

In mathematics the question word `of` can usually be translated into multiply.

So we have: `2/5color(red)(" of ")" tuition"`
`color(white)("dddddddddddd")color(red)(darr)`
`color(white)("ddddddddd.")2/5color(white)(".")color(red)(xx)color(white)("d")" tuition"`

But we are told the cost of the tuition is `$2520`

So by substituting $2520 for the word 'tuition we have:

`2/5xx$2520` which is the same as: `2xx($2520)/5`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`color(blue)("Consider just the part "($2520)/5)`
I have just spotted something!

This is the same as `cancel(2000)^400/cancel(5)^1+cancel(500)^100/cancel(5)^1+cancel(20)^4/cancel(5)^1 = 504`

`color(blue)("Putting it all back together")`

So `2xx($2520)/5 = 2xx$504=$1008`