To celebrate a diners anniversary, the owners have made a 40 foot long sandwich. The sandwich is cut into three unequal pieces. The longest piece is three times as long as the middle piece, and the shortest piece is 5 feet shorter than the middle piece. What is the length of the longest piece?
1 answer:
Let x be he length of middle piece. 3x = length of longer piece. x-5 = length of shortest piece. x + 3x + x-5 = 40 5x - 5 = 40 5x = 45 x = 45/5 x = 9. ( Size of middle piece ) Given that the longer piece is 3 times the size of middle piece, Longest piece = 3 x 9 = 27. Size of longest piece = 27 feet Size of middle piece = 9 feet Size of smaller piece = 40 - (27+9) = 40 - 36 = 4 feet. Thank you.
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