Question

Hey Guys...!!!
pls answer this!

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Harvind has three boxes of different fruits. Box A weighs 2½ kg more then box B, and Box C weighs 10¼ kg more then box B. The total weight of three boxes is 48¾ kg. How many kg does box A weigh?

Answer 1

Heya user, Here is your Answer --------


$let \: the \: weigh \: of \: box \: b \: = x \: kg \\ therefore \: weigh \: of \: box \: a \: = (x + 2 \times \frac{1}{2} )kg \\ = (x + \frac{(2 \times 2) + 1}{2} )kg \\ = (x + \frac{5}{2} )kg \\ and \: box \: c \: = (x + 10 \times \frac{1}{4} )kg \\ = (x + \frac{41}{4} )kg \\ = (x) + (x + \frac{5}{2} ) + (x + \frac{41}{4} ) = 48 \times \frac{3}{4} \\ = (x) + (x + \frac{5}{2} ) + (x + \frac{41}{4} ) = \frac{195}{4} \\ = x + x + \frac{5}{2} + x + \frac{41}{4} = \frac{195}{4} \\ = 3x + \frac{51}{4} = \frac{195}{4} \\ = 3x = \frac{195}{4} - \frac{51}{4} \\ = 3x = 36 \\ = x = \frac{36}{3} \\ x = 12 \\ now \: weigh \: of \: box \: a \: = x + \frac{5}{2} kg \\ = 12 + \frac{5}{2} kg \\ = \frac{29}{2} \: or \: 14 \times \frac{1}{2} kg$

Hope it will help you
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