Question

50 POINTS PLS HELP

On a recent restaurant survey, 45% of customers preferred soft drinks over sport drinks. Of those who preferred sport drinks, 52% also preferred coffee over tea, while 43% of those who enjoy soft drinks preferred tea over coffee.

What percentage of all customers prefer sport drinks and coffee? Round your answer to the nearest whole percentage.

52%
37%
29%
26%

Answer 1

C

Explanation:

55%=.55

52%=.52

.55*.52=.286

.286=.29

29%

Answer 2

29% of all customers prefer sport drinks and coffee.

Because 45% out of 100% of customers prefer soft over sport, the other 55% must prefer sport drinks over soft (100 - 45 = 55).
If 52% of the 55% prefer coffee over tea, we can convert the percentages to decimals to make it easier to solve.
0.52 x 0.55 = 0.286, also written as 28.6%.
Round to the nearest whole percentage, and the answer is 29%.