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There are some black and white buttons in a container.
7/10 of the buttons are black.
The difference between the number of black and white buttons is 24.
How many buttons are there in the container?

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ANSWER

60 buttons.

EXPLANATION

Let the number of buttons in the container be x.

Then the number of buttons that are black are:

[tex] \frac{7}{10} x[/tex]

The number of buttons that are white

[tex] \frac{3}{10} x[/tex]

The difference between the white and the black buttons

[tex] \frac{4x}{10} = 24[/tex]

Solve for x.

[tex]4x = 240[/tex]

[tex]x = \frac{240}{4} [/tex]

[tex]x = 60[/tex]

Hence there are 60 buttons in the container.

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