Math problem help!!!!

Question

If 64 out of 200 people surveyed preferred tea, then how many people out of 1500 would be expected to prefer tea?

show work to help thanks!!

Answer 1

first i would divide to find the proportion

64/200 = 0.32

then you can multiply by the new total of 1500

0.32 * 1500 = 480

meaning that 480 people out of 1500 would be expected to prefer tea

Answer 2

64/200 = t/1500

Cross multiply!

200t = 64(1500)

200t = 96,000

t = 480 people

Or, perhaps you can see that 64/200 = 32/100 = 32%

0.32(1500) = 480 people

Answer 3

64 : 200 :: p : 1500 proportion

200p = (64)(1500) product means = product extremes

p = (32)(15)

p = 480