Question

Question #19996

Answer 1

Under `40` years group has a higher ratio of black-tea
drinkers to herbal-tea drinkers .

Explanation:

Over `40` years group the ratio of black-tea drinkers to herbal-

tea drinkers is `600:1500= 6:15 = 2:5 = 18:45`

Under `40` years group the ratio of black-tea drinkers to herbal-

tea drinkers is `1400:1800 = 14:18 = 7:9 = 35:45`

`:. 35:45 > 18*45`

So under `40` years group has a higher ratio of black-tea drinkers

to herbal-tea drinkers . [Ans]

Answer 2

The under-40 group had a higher ratio (78%) than the over-40 group (40%) of black tea to herbal tea drinkers

Explanation:

This is a Ratio and Proportion problem

Set up the ratios and give them a common decimal denominator so they can be compared

                      Over 40       Under 40

`(black )/(herbal) . . . . . 600/1500 . . . . . 1400/1800`

1) Reduce the fractions as far as possible

`(black )/(herbal) . . . . . . 6/15 . . . . . . . 14/18`

`(black )/(herbal). . . . . . . 2/5 . . . . . . . . 7/9`

2) Determine which fraction is larger by making them both into decimals and percents

Over 40: `2/5 = 0.4 = 40%` prefer black tea to herbal tea

Under 40: `7/9 = 0.78 = 78%` prefer black tea to herbal tea

Among people  over  40, `40%` drink black tea
Among people under 40, `78%` drink black tea

Answer:
The under-40 group had a higher ratio of black tea to herbal tea drinkers