Question

Question #fe806

Answer 1

$13440

Explanation:

Let her monthly income = $x.

she saves = x of `2/7 = 2/ 7 * x`

So she spends = `x - 2/7 x = [7x -2x]/7 = [5x]/7`

Now as per question,

`[5x]/7 = 800`

`rArr x = [800 * 7]/5 = 1120`

Hence her monthly income is $1120

her yearly income will be $1120 * 12 = $13440

Answer 2

`$13,440`

Explanation:

Nityananda has shown an algebraic solution, by forming and solving an equation.

You can also do this using direct proportion.

If the lady saves `2/7` of her income, it means she spends `5/7`

You are told that the amount she spends is $800.

So, if $800 represents `5/7`, how much will represent `7/7`?

`800:5 = square:7` This can be written as:

`800/5 =square/7`

The relationship between `5 and 800` will be the same as between `7 and square`

`800 div 5= 160`

`:. square = 7 xx160 = 1120`

This is her monthly income.

Her annual income will be `1120 xx12 = $13,440`