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?

1 Answer
Dec 11, 2017

-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!