Layla and Nathan each sent out college recruitment e-mails to different prospective students. Students followed a link to get more information from $22 \%$ of Layla's $400$ e-mails and from $60$ out of $350$ of Nathan's e-mails. To the nearest percent, what percent of the total students clicked on the link from the e-mails? $\newline$ (Ignore the $\%$ symbol when entering your answer. For example, if the answer is $12\%$ , enter $12$ .) $\newline$ $\square$

View step-by-step help

Home

Math Problems

Grade 6

Find what percent one number is of another

Full solution

Q. Layla and Nathan each sent out college recruitment e-mails to different prospective students. Students followed a link to get more information from

22 \%

of Layla's

400

e-mails and from

60

out of

350

of Nathan's e-mails. To the nearest percent, what percent of the total students clicked on the link from the e-mails?

\newline

(Ignore the

\%

symbol when entering your answer. For example, if the answer is

12\%

, enter

12

\newline

\square

Calculate Students from Layla's Emails: Calculate the number of students who followed the link from Layla's e-mails. $\newline$ Layla's response rate is $22\%$ , so we need to find $22\%$ of $400$ . $\newline$ Calculation: $22\%$ of $400 = 0.22 \times 400 = 88$ students.
Calculate Students from Nathan's Emails: Calculate the number of students who followed the link from Nathan's e-mails. $\newline$ We are given the number directly: $60$ students out of $350$ e-mails.
Calculate Total Students Clicked Links: Calculate the total number of students who followed the links from both Layla's and Nathan's e-mails. $\newline$ Calculation: Total students who clicked the link $=$ Layla's students $+$ Nathan's students $= 88 + 60 = 148$ students.
Calculate Total Emails Sent: Calculate the total number of e-mails sent by both Layla and Nathan. $\newline$ Calculation: Total e-mails sent = Layla's e-mails + Nathan's e-mails = $400 + 350 = 750$ e-mails.
Calculate Overall Response Rate: Calculate the overall response rate to the nearest percent. $\newline$ Calculation: Overall response rate = $(\frac{\text{Total students who clicked the link}}{\text{Total e-mails sent}}) \times 100$ $\newline$ Overall response rate = $(\frac{148}{750}) \times 100$ $\newline$ Overall response rate \approx $19$ . $73$ \% $\newline$ To the nearest percent, the overall response rate is approximately $20\%$ .