Question

The product of a number and negative five-ninths decreased by forty-three is the same as twenty-five increased by five-ninths times the number. What is the number?

Answer 1

`-61.2`

Explanation:

This problem represents an equation that we can use to solve for the number, which we will call `n`. The equation looks like this:

`(n*-5/9)-43=25+(5/9*n)`

This is based off of what the problem is telling us. So now we need to solve for `n`, so:

`(n*-5/9)-43color(red)(+43)=25+(5/9*n)color(red)(+43)`
`(n*-5/9)=68+(5/9*n)`
`(n*-5/9)color(red)(-(5/9*n))=68+(5/9*n)color(red)(-(5/9*n))`
`(n*-10/9)=68`
`(n*-10/9)/color(red)(-10/9)=68/color(red)(-10/9)`
`n=-61.2`

Hope this helped!