2c+3a=111 solve for each letter

A group of 54 people is travelling in a bus. Each child (c) has 2 pieces of luggage. And each adult (a) has 3 pieces of luggage. The total number of luggage is 111. How many children are on the bus? How many adults?
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1 Answer

1...x+y=54 or y=54-x . . .

2....2x+3y=111

2x +3*(54-x)=111

2x -3x +162=111

-x=111-162=-51

x=51

y=54-x=3
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