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!