Question

Aneesh spend 3/7 of his money on a shirt & 1/2 of the remainder on a pair of trousers. If he had $23 left, how much did Aneesh spend altogether?

Answer 1

Answer:

Aneesh spent 57.5 altogether.

Step-by-step explanation:

We can make an equation:

( x - ( x * 3/7 ) ) * 1/2 = 23

x - 3/7 x = 46

4/7 x = 46

x = 46 : 4/7 = 46 * 7/4 = 80.5

80.5 - 23 = 57.5

Answer 2

Answer:

Aneesh spend $57.5 altogether

Step-by-step explanation:

Given,

Aneesh spend 3/7 of his money on a shirt

1/2 of the remainder on a pair of trousers

Let the amount of money that Aneesh had initially be ' x '

Now,

3/7 of x , he spend on his shirt

Amount spend on shirt = 3/7 * x = $\frac{3x}{7}$

Amount of money left = x - $\frac{3x}{7}$ = $\frac{7x - 3x}{7}$

= $\frac{4x}{7}$

According to question,

He spent 1 / 2 of $\frac{4x}{7}$ on his trousers

Amount spend on trousers = $\frac{1}{2}$ * $\frac{4x}{7}$ = $\frac{2x}{7}$

Also,

Amount of money left with him =  $23

So,

Total money he had = Money spend on shirt + Money spend on Trousers + Money left

x =   $\frac{3x}{7}$  +  $\frac{2x}{7}$ +23

x =  $\frac{3x + 2x}{7}$ + 23

x =  $\frac{5x}{7}$ + 23

x =  $\frac{5x + 161 }{7}$

7x = 5x + 161

7x - 5x = 161

2x = 161

x = 80.5

Therefore,

In total he had $80.5 with him

Money spend = Total money - Money saved

Money spend = $80.5 - $23

Money spend =  $57.5

Hence,

Aneesh spend $57.5 altogether