SOLUTION: Ok, A group of 59 people are traveling by bus. Each child (c) has 2 pieces of luggage and each adult (a) has 3 pieces of luggage. The total number of pieces of luggage is 124. W

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Question 130250This question is from textbook
: Ok, A group of 59 people are traveling by bus. Each child (c) has 2 pieces of luggage and each adult (a) has 3 pieces of luggage. The total number of pieces of luggage is 124.
Write a system of equations that describes the abouve sitituation
How many adults are on the bus? How many children?
This question is from textbook

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x=adults and y=children

"A group of 59 people are traveling by bus" __ x+y=59 __ y=59-x

"Each child (c) has 2 pieces of luggage and each adult (a) has 3 pieces of luggage. The total number of pieces of luggage is 124."
__ 3x+2y=124

substituting __ 3x+2(59-x)=124 __ 3x+118-2x=124 __ x=

substitute the value of x into the 1st equation to find y