Question

this question has two parts. first, answer part a. then, answer part b.
part a
a survey found that for every 3 people who preferred vanilla yogurt, there were 2 people who preferred strawberry yogurt. enter the correct answers to complete the table.
vanilla | strawberry
9 |
21 |
33 |
45 |
part b
explain. enter the answer.
keyboard help

Explanation:

Step1: Determine the ratio

The ratio of vanilla to strawberry is \(3:2\). Let the number of strawberry - preferred people be \(s\) and vanilla - preferred be \(v\). So, \(\frac{v}{s}=\frac{3}{2}\), which can be rewritten as \(s = \frac{2}{3}v\).

Step2: Calculate for \(v = 9\)

Substitute \(v = 9\) into \(s=\frac{2}{3}v\). Then \(s=\frac{2}{3}\times9 = 6\).

Step3: Calculate for \(v = 21\)

Substitute \(v = 21\) into \(s=\frac{2}{3}v\). Then \(s=\frac{2}{3}\times21=14\).

Step4: Calculate for \(v = 33\)

Substitute \(v = 33\) into \(s=\frac{2}{3}v\). Then \(s=\frac{2}{3}\times33 = 22\).

Step5: Calculate for \(v = 45\)

Substitute \(v = 45\) into \(s=\frac{2}{3}v\). Then \(s=\frac{2}{3}\times45=30\).

Answer:

For Vanilla = 9, Strawberry = 6; for Vanilla = 21, Strawberry = 14; for Vanilla = 33, Strawberry = 22; for Vanilla = 45, Strawberry = 30.