A company conducted a survey to see whether its new toothpaste was more popular with children or adults. Of the adults surveyed, about [tex]11 \%[/tex] use the toothpaste. Compare this with the percentage of children who use the toothpaste.

\begin{tabular}{|c|c|c|c|}
\hline & Use toothpaste & \begin{tabular}{l}
Do not use \\
toothpaste
\end{tabular} & Total \\
\hline Children & 0.06 & 0.19 & 0.25 \\
\hline Adults & 0.08 & 0.67 & 0.75 \\
\hline Total & 0.14 & 0.86 & 1.0 \\
\hline
\end{tabular}

Select the true statement.
A. A greater percentage of children [tex](24 \%)[/tex] use the toothpaste.
B. A greater percentage of children [tex](40 \%)[/tex] use the toothpaste.
C. A smaller percentage of children [tex](8 \%)[/tex] use the toothpaste.
D. A smaller percentage of children [tex](6 \%)[/tex] use the toothpaste.



Answer :

To determine the percentage of children who use the toothpaste, we need to focus on the "Children" row of the table.

The table tells us:
- The number of children who use the toothpaste is [tex]\(0.06\)[/tex].
- The total number of children surveyed is [tex]\(0.25\)[/tex].

To find the percentage of children who use the toothpaste, we use the formula for percentage:

[tex]\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \][/tex]

Here, the part is the number of children who use the toothpaste ([tex]\(0.06\)[/tex]) and the whole is the total number of children surveyed ([tex]\(0.25\)[/tex]):

[tex]\[ \text{Percentage of children who use toothpaste} = \left( \frac{0.06}{0.25} \right) \times 100 \][/tex]

When we calculate this expression, we get:

[tex]\[ \left( \frac{0.06}{0.25} \right) \times 100 = 24 \][/tex]

So, [tex]\(24\%\)[/tex] of the children use the toothpaste.

Now let's compare this finding with the statements provided:

A. A greater percentage of children [tex]\( (24\%) \)[/tex] use the toothpaste.
B. A greater percentage of children [tex]\( (40\%) \)[/tex] use the toothpaste.
C. A smaller percentage of children [tex]\( (8\%) \)[/tex] use the toothpaste.
D. A smaller percentage of children [tex]\( (6\%) \)[/tex] use the toothpaste.

The correct statement is A: A greater percentage of children [tex]\( (24\%) \)[/tex] use the toothpaste.