Question 130250
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