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.)□
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?(Ignore the % symbol when entering your answer. For example, if the answer is 12%, enter 12.)□
Calculate Students from Layla's Emails: Calculate the number of students who followed the link from Layla's e-mails.Layla's response rate is 22%, so we need to find 22% of 400.Calculation: 22% of 400=0.22×400=88 students.
Calculate Students from Nathan's Emails: Calculate the number of students who followed the link from Nathan's e-mails.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.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.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.Calculation: Overall response rate = (Total e-mails sentTotal students who clicked the link)×100Overall response rate = (750148)×100Overall response rate \approx 19.73\%To the nearest percent, the overall response rate is approximately 20%.
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