$4$ ) In a poll, $9$ out of $25$ students in Lydia's science class say they will vote for her for class president. In Lydia's history class, $4$ out of $16$ students say they will vote for her. Which is greater, the percent of students who will vote for Lydia in her science class or in her history class? $\newline$ $4$ ) What percent of the students in Lydia's science class say they will vote for her? $\newline$ ( $1$ )) Science class: $\%$

Full solution

4

) In a poll,

9

out of

25

students in Lydia's science class say they will vote for her for class president. In Lydia's history class,

4

out of

16

students say they will vote for her. Which is greater, the percent of students who will vote for Lydia in her science class or in her history class?

\newline

4

) What percent of the students in Lydia's science class say they will vote for her?

\newline

(

1

)) Science class:

\%

Calculate Percentage Science Class: Calculate the percentage of students in Lydia's science class who say they will vote for her. $\newline$ Use the formula: $(\text{Number of students voting for Lydia} / \text{Total number of students in the class}) \times 100\%$ . $\newline$ For the science class, the calculation is: $(9 / 25) \times 100\%$ .
Perform Calculation Science Class: Perform the calculation for the science class. $\newline$ $(\frac{9}{25}) \times 100\% = 0.36 \times 100\% = 36\%$ . $\newline$ So, $36\%$ of the students in Lydia's science class say they will vote for her.
Calculate Percentage History Class: Calculate the percentage of students in Lydia's history class who say they will vote for her. $\newline$ Use the same formula: $(\text{Number of students voting for Lydia} / \text{Total number of students in the class}) \times 100\%$ . $\newline$ For the history class, the calculation is: $(4 / 16) \times 100\%$ .
Perform Calculation History Class: Perform the calculation for the history class. $\newline$ $(\frac{4}{16}) \times 100\% = 0.25 \times 100\% = 25\%$ . $\newline$ So, $25\%$ of the students in Lydia's history class say they will vote for her.
Compare Percentages: Compare the percentages to determine which is greater. $\newline$ The percentage in the science class is $36\%$ , and the percentage in the history class is $25\%$ . $\newline$ Therefore, the percent of students who will vote for Lydia is greater in her science class.