A random sample of 200 teenagers participated in a taste test. Each teenager sampled four choices of fruit drink (labeled "A", "B", "C", and "D"), and then were asked to pick a favorite. The table shows the results of this taste test.

Based on the information given, which of the given statements are true?

A.) 40% of the participants were girls

B.) 70% of the participants preferred "A"

C.) 20/120 of the boys preferred "D"

D.) 10/35 of the participants who preferred "B" were girls

E.) The proportion of boys who preferred "C" is equal to the proportion of girls who preferred "C"

A.) 40% of the participants were girls

B.) 70% of the participants preferred "A"

C.) 20/120 of the boys preferred "D"

D.) 10/35 of the participants who preferred "B" were girls

E.) The proportion of boys who preferred "C" is equal to the proportion of girls who preferred "C"

**Begin checking each statement for being true or false.**

*A.) 40% of the participants were girls*

200

x 0.4

-------

80

A.) is true

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*B.) 70% of the participants preferred "A"*

70 out of 200 preferred "A"

= 70/200

= 0.35 {divided}

= 35% of the participants preferred "A" {changed decimal to percent}

**B.) is false**

----------------

C.) 20/120 of the boys preferred "D"

looking at the chart 20 out of 120 boys did prefer "D"

**C.) is true**

----------------

*D.) 10/35 of the participants who preferred "B" were girls*

Looking at the chart, 10/35 of the participants who preferred "B" were girls

**D.) is true**

----------------

*E.) The proportion of boys who preferred "C" is equal to the proportion of girls who preferred "C"*

30/120 boys preferred "C" and 30/80 girls preferred "C"

**E.) is false**

*Ask Algebra House*