How do you solve #1,775= 25( p + 15)#?

1 Answer
Dec 23, 2016

#p=56#

Explanation:

We begin with #1775=25(p+15)#. To begin, we must isolate #p#. The first step is to divide by #25# on both sides. That gives us #1775/25=(cancel(25)(p+15))/cancel(25)#, which simplifes to #71=p+15#. Now subtract #15# on both sides, and we see that #p=56#.

To confirm that we are correct, we just need to check our work by substituting #p# for #56# and solving, like so: #1775=25(56+15)#. That becomes #1775=25(71)#, which means that #1775=1775#, and we are correct.