To determine the percentage of the total amount that Jane received, we need to follow these steps:
1. First, we identify the total amount of money received by Mary, Jane, and Ruth, which is [tex]\(\$ 30\)[/tex].
2. Next, we note how much Jane received, which is [tex]\(\$ 9\)[/tex].
3. To find out what percentage [tex]\(\$ 9\)[/tex] is of [tex]\(\$ 30\)[/tex], we use the formula for percentage:
[tex]\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
\][/tex]
Here, the "Part" is the amount Jane received, [tex]\(\$ 9\)[/tex], and the "Whole" is the total amount, [tex]\(\$ 30\)[/tex].
4. Plugging in the numbers:
[tex]\[
\text{Percentage} = \left( \frac{9}{30} \right) \times 100
\][/tex]
5. Simplifying the fraction [tex]\(\frac{9}{30}\)[/tex]:
[tex]\[
\frac{9}{30} = 0.3
\][/tex]
6. Finally, multiplying by 100 to convert the decimal to a percentage:
[tex]\[
0.3 \times 100 = 30\%
\][/tex]
Therefore, Jane received [tex]\(30\%\)[/tex] of the total amount of [tex]\(\$ 30\)[/tex]. The correct answer is:
[tex]\[ 30\% \][/tex]
