Question

If I spent 2/5 of my monthly salary on my mortgage and had $1200 left over for all my other expenses. How much did I spend on my mortgage?

Answer 1

I spent $800 on my mortgage

Explanation:

Proportions

Let's call x=montly salary.

I spent
`(2)/(5)x` on my mortgage. This leaves

`x-(2)/(5)X=(3)/(5)x`

left over for other expenses. That amount of money is given:

`\displaystyle (3)/(5)x=1200`

Multiplying by 5/3:

`\displaystyle x=1200*(5)/(3)`

x = $2000

My monthly salary is $2000. I spent 2/5 *$2000 = $800 on my mortgage

I spent $800 on my mortgage