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"
Begin checking each statement for being true or false.
A.) 40% of the participants were girls 200 x 0.4  80 A.) is true  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 Comments are closed.

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