SOLUTION: A reservation clerk worked 12.6 hrs 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

Question 459726: A reservation clerk worked 12.6 hrs 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?
Thank you in advance
Chris
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
A reservation clerk worked 12.6 hrs 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?
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Let n = the time spent on new reservations
Then the time spent on old reservations is n/2
The time spent confirming reservations is 3/2 the time spent on old reservations
But the time spent on old reservations is n/2
Therefore, we can express the time spent confirming reservations as (3/2)(n/2)=3n/4
So the total time spent, expressed in terms of n, is:
n + n/2 + 3n/4 = 12.6
Solve for n:
(4n + 2n + 3n)/4 = 12.6
9n = 50.4
n = 5.6
So the time spent on new reservations is 5.6 hrs
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