At a family reunion, there were only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 400 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

Respuesta :

Answer:

70

Step-by-step explanation:

let x= no of children, y = no of parents, z= no of grandparents.

so according to question condition .... y = 2z, x= y+50 and x+y+z= 400.

hence on solving above all three equation....

x = no of children = 190 Answer

y= no of parents = 140 Answer

z= no of grandparents = 70 Answer

The number of people in attendance are:

Children=70

Parents=140

Grandparents=190

Let

C represent children

P represent parents

G represent grandparents

Hence:

children+parents+ grandparent=400

P=2G

C=P+50 = 2G+50

2G+50 + 2G + G =400

5G=400-50

5G = 350

G=350/5

G =70 grandparents

P=70×2

P =140 parents

C=140+50

C =190 children

Inconclusion The number of people in attendance are:

Children=70

Parents=140

Grandparents=190

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