there are 104 red candies in a candy machine. this represents 26% of the candy in the machine. how many total are in the candy machine

Respuesta :

There are 400 candies in the machine.

Step-by-step explanation:

Given,

Number of red candies in machine = 104

This represents 26% of the total candies.

Let,

x be the total candies in the machine.

According to statement;

26% of x = 104

[tex]\frac{26}{100}*x=104\\0.26x=104[/tex]

Dividing both sides by 0.26

[tex]\frac{0.26x}{0.26}=\frac{104}{0.26}\\x=400[/tex]

There are 400 candies in the machine.

Keywords: percentage, division

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