A students tuition was $2520. A loan was obtained for 2/525 of the tuition. How much as the loan?

1 Answer
Jun 24, 2018

$1008.00" "$1008.00 Lot of detail given.

Explanation:

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

So we have: 2/5color(red)(" of ")" tuition"25 of tuition
color(white)("dddddddddddd")color(red)(darr)dddddddddddd
color(white)("ddddddddd.")2/5color(white)(".")color(red)(xx)color(white)("d")" tuition" ddddddddd.25.×d tuition

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

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

2/5xx$252025×$2520 which is the same as: 2xx($2520)/52×$25205
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

color(blue)("Consider just the part "($2520)/5)Consider just the part $25205
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