in a survey of 420 people, 85% said they drink coffee. of these, 1/3 said they drink their coffee black. how many of the people surveyed drink it black?

119

Step-by-step explanation:

The total number of people who had taken the survey is 420 wich is equivalent to 100%.

The percentage of people who drink coffee is 85%.

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Let x be the number of people drinking coffee

● 420 => 100%

● x => 85%

These values are proportional so we can cross-multiply them

● x*100 = 420*85

● x = (420*85)÷100

● x = 357

The number of people who drink coffee is 357.

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Let y be the number of people who drink black coffee.

y is 1/3 of 357 since people who drink black coffee represent the third of the total number of people drinking coffee in general.

● To get y multiply 1/3 by the total number of people drinking coffee (357)

●y = (1/3)*357

● y = 119

119 is the number of people who drink black coffee