SOLUTION: A reservation clerk worked 14.4 hours one day. She spent twice as much time entering new reservations as she did verifying old ones and one and a half as much time calling to confi

Question 359159: A reservation clerk worked 14.4 hours one day. She spent twice as much time entering new reservations as she did verifying old ones and one and a half as much time calling to confirm reservations as verifying old ones. How much time did she spend entering new reservations
Answer by aggie_tutor(13) (Show Source): You can put this solution on YOUR website!
total hours worked: 14.4
time on entering new = n
time on verifying old = p
time on confirming = r
n + p + r = 14.4
(two times the old)
(one and a half times the old)
substitute for r and n:

solve for p:

to add the fraction to the 3p, you must convert 3p to common denominator:

combine the like terms with the numerators on top:

remove denominator by multiplying both sides by 2:

Now solve for

Time spent on new reservations = n = 6.4 hours.
Double check your work by finding the r value, time spend confirming:

Time spent on calling to confirm = r = 4.8 hours.
total time should = 14.4 hours:
r + n + p = 14.4
4.8 + 6.4 + 3.2 = 14.4

RELATED QUESTIONS
A reservation clerk worked 9 hours one day. She spent twice as much time entering new... (answered by mananth)

A reservation clerk worked 12.6 hours one day. She spent twice as much time entering new... (answered by josmiceli)

A reservation clerk worked 12.6 hrs one day. She spent twice as much time entering new... (answered by htmentor)

During an 8-hour day, a veterinarian spent twice as much time tending animals at her... (answered by josmiceli)

Lauren works 7.5 hours a day. She spent the day making calls, emails, and meetings. She (answered by algebrapro18)

In her job as a mathematics textbook editor, Lauren Morse works 7.5 hr. a day. She spent... (answered by stanbon)

This needs to have the five step deal D, V, P, E, S. Thanks Lauren Morse, a... (answered by richwmiller)

Lisa worked fifteen hours last week. One job as a clerk that paid $5.25 per hour, while... (answered by nerdybill)

A mathematics textbook editor spent 7.5 hours making telephone calls, writing e-mails,... (answered by stanbon)