Question #fe806

2 Answers
Jan 1, 2017

Answer:

$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

Jan 1, 2017

Answer:

#$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#