If the ratio is 5 to 3 there are 46 more people that like milk chocolate than plain How many altogether?

The ratio of people who like milk chocolate to plain chocolate is 5:3.

There are 46 more people who like milk chocolate than plain chocolate.

Let:

x = number of people who like plain chocolate

Then, the number of people who like milk chocolate = (x + 46)

According to the given ratio, we can write:

(x + 46) / x = 5/3

Cross-multiplying to get rid of the fraction:

3(x + 46) = 5x

Simplifying the equation:

3x + 138 = 5x

Subtracting 3x from both sides:

138 = 2x

Dividing both sides by 2:

x = 69

Therefore:

The number of people who like plain chocolate = x = 69

The number of people who like milk chocolate = x + 46 = 69 + 46 = 115