There are 42 white buttons in a box, the rest are gray, how many gray buttons if white make up 2/3 of all buttons.

We express the required unknown number of gray buttons in the box using the conditional variable “Y”.

Using the data from this example, compose the following expression: 42 / (42 + Y) = 2/3.

When we count, we will have such a total 42 x 3 = 2 x (42 + Y) or 126 = 2 x 42 + 2Y or 126 = 84 + 2Y or 2Y = 126 – 84 = 42 or Y = 42/2 = 21 gray buttons …

Answer: there are 21 gray buttons in the box.



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