a reservation clerk worked 13.5 hours one day. she spent twice as much time entering new reservation as she did verifying old ones and one and a half as much time calling to confirm reservation as verifying old ones. how much time did she spend entering new reservation?

Answer 1

if we let
x = entering new reservations
y = verifying old ones
z = confirming

then

x + y + z = 13.5
x = 2y
z = 1.5 y

2y + y + 1.5y = 13.5
4.5y = 13.5
y = 3

so, x = 2y = 6 hours on new reservations.

Answer 2

12