Multiple choice general knowledge math & puzzles

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. How many blueberries & Cups are there?

  1. 35,7

  2. 45,7

  3. 45,9

  4. 35,9
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let B be blueberries and C be cups. B = 9(C-2) and B = 6C + 3. Setting them equal: 9C - 18 = 6C + 3 => 3C = 21 => C = 7. Then B = 6(7) + 3 = 45.

AI explanation

To answer this question, let's analyze the given information step by step:

Let's assume the number of blueberries is represented by 'b' and the number of cups is represented by 'c'.

According to the first statement, if Maria puts 9 blueberries into each cup, she will have two cups left. This can be represented as the equation:

9b = 9c + 2

According to the second statement, if Maria puts 6 blueberries into each cup, she will have three blueberries left over. This can be represented as the equation:

6b = 6c + 3

We now have a system of two equations with two variables. We can solve this system to find the values of 'b' and 'c'.

Let's multiply the first equation by 6 and the second equation by 9 to eliminate 'c':

54b = 54c + 12 54b = 54c + 27

Subtracting the second equation from the first equation, we get:

0 = 15

This is a contradiction, indicating that there is no solution to the system of equations. Therefore, the given information is inconsistent and does not provide a valid answer.

Since none of the provided options match the correct answer, it seems that there may be an error in the question or the given options.

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