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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?
(Ignore the % symbol when entering your answer. For example, if the answer is 12%, enter 12.)
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Layla and Nathan each sent out college recruitment e-mails to different prospective students. Students followed a link to get more information from 22% 22 \% of Layla's 400400 e-mails and from 6060 out of 350350 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%12\%, enter 1212.)\newline\square

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% 22 \% of Layla's 400400 e-mails and from 6060 out of 350350 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%12\%, enter 1212.)\newline\square
  1. Calculate Students from Layla's Emails: Calculate the number of students who followed the link from Layla's e-mails.\newlineLayla's response rate is 22%22\%, so we need to find 22%22\% of 400400.\newlineCalculation: 22%22\% of 400=0.22×400=88400 = 0.22 \times 400 = 88 students.
  2. Calculate Students from Nathan's Emails: Calculate the number of students who followed the link from Nathan's e-mails.\newlineWe are given the number directly: 6060 students out of 350350 e-mails.
  3. Calculate Total Students Clicked Links: Calculate the total number of students who followed the links from both Layla's and Nathan's e-mails.\newlineCalculation: Total students who clicked the link == Layla's students ++ Nathan's students =88+60=148= 88 + 60 = 148 students.
  4. Calculate Total Emails Sent: Calculate the total number of e-mails sent by both Layla and Nathan.\newlineCalculation: Total e-mails sent = Layla's e-mails + Nathan's e-mails = 400+350=750400 + 350 = 750 e-mails.
  5. Calculate Overall Response Rate: Calculate the overall response rate to the nearest percent.\newlineCalculation: Overall response rate = (Total students who clicked the linkTotal e-mails sent)×100(\frac{\text{Total students who clicked the link}}{\text{Total e-mails sent}}) \times 100\newlineOverall response rate = (148750)×100(\frac{148}{750}) \times 100\newlineOverall response rate \approx 1919.7373\%\newlineTo the nearest percent, the overall response rate is approximately 20%20\%.

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