college algebra word problem

Question

At a family reunion, there were only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 500 people total. There were twice as many parents as grandparents, and 50 more children than parents. How many children, parents, and grandparents were in attendance?

Answer 1

C+P+G=500

P=2G

C=P+50 = 2G+50

2G+50 + 2G + G =500

5G = 450

G =90 grandparents

P =180 parents

C =230 children