Question

A survey of students at a university shows that 3out of 4 drinks coffee. of the students who drink coffee, 1 out of 5 add cream to it. if the university has 8,000

students, find the number students who drink coffee with cream.

Answer 1

1200

Explanation:

The number who drink coffee is 3/4 of 8000, so ...

... (3/4)×8000 = 6000.

Of those, 1/5 add cream, so the number of coffee drinkers who add cream to their coffee is ...

... (1/5)×6000 = 1200.

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Alternate solutions

We have computed ...

... (1/5)×((3/4)×8000) = 1200

Since multiplication is associative, you can multiply the fractions first, if you wish:

... ((1/5)×(3/4))×8000 = (3/20)×8000

... = 24000/20 = 1200

or

... = 3×(8000/20) = 3×400 = 1200