Question

The quotient of a number and -15 is equivalent to 100

Answer 1

The quotient of a number and -15, simply means the number divided by -15.

So, let the unknown number be x,

This statement can be written mathematically as

`(x)/(-15)\equiv100`

This becomes

`\begin{gathered} (x)/(-15)\equiv100 \\ (x)/(-15)=100 \\ m\text{ultiplying -15 to both sides } \\ (x)/(-15)*-15=100*-15 \\ -15\text{ cancels -15} \\ x=100*-15 \\ x=-1500 \end{gathered}`

Hence, the number is equivalent to -1,500