Blueberries and Cups Puzzle:



Question:
Maria have some blueberries and some cups. If she put 9 blueberries into each cup she will have two cups left. If she put 6 blueberries into each cup she will have three blueberries left over.

Solution:
The number of blueberries is equal to number of cups multiplied by 4 minus one left.
That is :
B = 9(C - 2) -> 1st Equation
Then the number of blueberries will be equal to the number of cups times three plus one left.
That is :
B = 6C + 3 -> 2nd Equation
Now substitute the 1st and 2nd equations:
B = 9(C - 2)
B = 6C + 3
C = 7, B = 45.
Therefore Blueberries = 45 and cups = 7.

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