MATH PUZZLE PROBLEM FROM VIRAL INTERNET.

Math Problem From China Stumps Internet – Shoes, Cat, Whistle Puzzle Explained

This problem was asked to primary school students in China.

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Answer To Shoes, Cat, Whistle Puzzle Explained

The tricky part is two of the pictures in the last line have slight differences from the previous equations.

The third equation has a term with a pair of whistles. The last line involves a single whistle.

Furthermore, the cats in the second and third lines are wearing a whistle, but the cat in the last line is not wearing a whistle. Presumably the value of the whistle should be accounted for to get the correct answer.

The pictures can be translated into the following equations:

shoes + shoes + shoes = 30
shoes + (cat + whistle) + (cat + whistle) = 20
(cat + whistle) + 2(whistles) + 2(whistles) = 13
shoes + (cat) x (whistle) = ?

From the first equation we can solve for the shoes value:

shoes + shoes + shoes = 30
3(shoes) = 30
shoes = 10

We can then solve the second equation for the (cat + whistle) value:

shoes + (cat + whistle) + (cat + whistle) = 20
10 + 2(cat + whistle) = 20
2(cat + whistle) = 10
cat + whistle = 5

Then we solve the third equation for the whistle:

(cat + whistle) + 2(whistles) + 2(whistles) = 13
5 + 4(whistles) = 13
4(whistles) = 8
whistle = 2

We also need to solve for the value of the cat:

cat + whistle = 5
cat + 2 = 5
cat = 3

Now we can evaluate the final expression, remembering the order of operations that multiplication should be evaluated before addition:

shoes + (cat) x (whistle) = ?

10 + 3 x 2
= 10 + 3 x 2
= 10 + 6
= 16

The value of 16 is what many people believe to be the correct answer.

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