A room contains x bags and y boxes of fruit. Each bag contains 2 apples and 4 bananas and each box contains 6 apples and 8 bananas. There are 20 apples and 28 bananas in the room. Find x and y?

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Answer 1 · 2018-06-29T02:18:49

#x=1#, #y=3#

Number of apples in the room

#2x+6y=20#

#x+3y=10\ .......(1)#

Number of bananas in the room

#4x+8y=28#

#x+2y=7\ .......(2)#

Subtracting (2) from (1), we get

#x+3y-(x+2y)=10-7#

#y=3#

substituting #y=3# in (1), we get

#x=10-3y=10-3\cdot 3=1#

#\therefore x=1, y=3#