A bottle and a glass balances the jug. A bottle balances a plate and a glass. Two jugs balances 3 plates. From the given conditions, find out how many glasses will balance the bottle?
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Let us denote the bottle by B , jug by J , plate by P and glass by G .
So from the first statement,
B + G = J . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
From the second statement,
P + G = B . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
From the third statement,
3 P = 2 J
or, P = 3 2 J . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Putting value of \boxed{3}) in \boxed{2})
B = 3 2 J + G
or, 3 B = 2 J + 3 G
or, 3 B = 2 B + 2 G + 3 G ....(putting value from 1
or, B = 5 G