Algebra
Era and Bob have each one a basket of apples.
If Era gives ones apple to Bob, then they will have each the same number of apples.
If Bob gives one apple to Era, then Era will have 5 times more than Bob.
How many apples did Era have?
Credit: math teacher
The answer is 4.
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1 solution
If Era gives ones apple to Bob, then they will have each the same number of apples. In equation, it is
E − 1 = B + 1
or it can be written as
B = E − 2
If Bob gives one apple to Era, then Era will have 5 times more than Bob. In equation, it is
5 ( B − 1 ) = E + 1
Substitute B = E − 2 to the above equation. We have
5 ( B − 2 ) = E + 1
5 ( E − 1 − 2 ) = E + 1
5 ( E − 3 ) = E + 1
5 E − 1 5 = E + 1
4 E = 1 6
E = 4