Question

When the quotient of -5 and a number is increased 12, the result is -15. Find the number.

Answer 1

The number is equal to
`(5)/(27)`

Explanation:

Let x be this number. The quotient of -5 and x is equal to
`(-5)/(x)`. If we increase it by 12, we add 12. This is equal to -15, so we can write the information as
`(-5)/(x)+12=-15`.

Substract 12 from both sides to obtain
`(-5)/(x)=-27`.

Divide by -5 in both sides to get
`(1)/(x)=(27)/(5)`

Finally, take reciprocals in both sides of the equation to obtain
`x=(5)/(27)`.