The weight of 7 apples and 12 bananas is gm,
and that of 12 apples and 10 bananas is gm.
Determine the weight of 4 apples and 9 bananas, given that they are identical.
Let the weight of one apple be denoted by , and the weight of
one banana be denoted by . Then, from the information in the
question, we can conclude that
This pair of equations can be solved by using the omitting method.
Multiplying the first equation by 5 gives
Multiplying the second equation by 6 gives
Subtracting the two equations gives
Substituting this value for into the first equation gives
Therefore, the weight of one apple is and the
weight of one banana is .
The weight of 4 apples and 9 bananas is therefore