Question

Some number was divided into 104.13. This quotient was multiplied by 4, after which the resulting product was added to 5. Given this sum totaled to -41.8, find the initial number?

Answer 1

The initial number is -1218.321.

Explanation:

Let the initial number be 'x'.

The number 'x' is divided into 104.13.

So, we divide the number 'x' by 104.13. This gives,

`(x)/(104.13)`

Now, the quotient is multiplied by 4. So, this means we need to multiply 4 to the fraction above. This gives,

`(x)/(104.13)* 4\\\\(4x)/(104.13)`

Now, 5 is added to the result. This gives,

`(4x)/(104.13)+5`

Now, as per question:

`(4x)/(104.13)+5=-41.8`

Now, solving for 'x', we add -5 both sides. This gives,

`(4x)/(104.13)+5-5=-41.8-5\\\\(4x)/(104.13)=-46.8\\\\4x=-46.8* 104.13\\\\4x=-4873.284\\\\x=(-4873.284)/(4)=-1218.321`

Therefore, the initial number is -1218.321.