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. )

Question

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. )

Bytelearn · Accepted Answer

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%, and she sent out 400 e-mails. To find the number of students who clicked on the link, we multiply the total number of e-mails by the response rate. Number of students from Layla's e-mails = 22% of 400 Number of students from Layla's e-mails = 0.22 * 400 Number of students from Layla's e-mails = 88Calculate students from Nathan's emails: Calculate the number of students who followed the link from Nathan's e-mails. We are given that 60 out of 350 of Nathan's e-mails were followed by students. Number of students from Nathan's e-mails = 60Calculate total students from both emails: Calculate the total number of students who clicked on the links from both Layla's and Nathan's e-mails. Total number of students who clicked on the links = Number of students from Layla's e-mails + Number of students from Nathan's e-mails Total number of students who clicked on the links = 88 + 60 Total number of students who clicked on the links = 148Calculate total emails sent: Calculate the total number of e-mails sent by both Layla and Nathan. Total number of e-mails sent = Layla's e-mails + Nathan's e-mails Total number of e-mails sent = 400 + 350 Total number of e-mails sent = 750Calculate overall response rate: Calculate the overall response rate to the nearest percent. Overall response rate = (Total number of students who clicked on the links / Total number of e-mails sent) * 100% Overall response rate = (148 / 750) * 100% Overall response rate ≈ 19.73% To the nearest percent, the overall response rate is approximately 20%.

Full solution

More problems from Find what percent one number is of another: word problems

Related topics