A nurse comes on duty and checks a patient's chart where the doctor's order read, "Administer 5L dextrose solution over a period of 24 hours." How much solution will be left after 9 hours?
2007-10-23 15:35:27 · 14 answers · asked by Sydney.♥ 2 in Science & Mathematics ➔ Mathematics
Copied this question straight from the homework worksheet. Solutions were posted to and the answer is = 3.125L but I'm now wondering how the prof came to that conclusion.
2007-10-23 15:43:36 · update #1
5 divide by 24= about 0.208 answer times 9=1.875 5-1.875=3.125L
2007-10-23 15:39:14 · answer #1 · answered by skipsangel504 1 · 1⤊ 0⤋
You have to divide 5L by 24 (to figure out how much will be administered an hour) and multiply that answer by 9 (for 9 hours). Subtract the product you get from 5 (5L).
This gives you 3.125L of solution left after 5 hours.
EQUATION: 5-[(5/24)*9]=3.125L
2007-10-23 15:39:59 · answer #2 · answered by mess129 2 · 1⤊ 0⤋
After 9 hours 9/24 0f the solution should be gone leaving 15/24 or 5/8 of the of the 5 liters. 5/8 x 5/1 liters = 25/8 liters = 3 1/8 liters left after 9 hours assuming the solution is dispensed linearly. 3 1/8 liters = 3.125 liters
2007-10-23 16:16:23 · answer #3 · answered by Mr. Un-couth 7 · 0⤊ 0⤋
Think of it this way: After 9 hours, 9/24 of the 5L has been used, so 15/24 of the 5L is left. Multiply it out.
2007-10-23 15:40:25 · answer #4 · answered by DWRead 7 · 0⤊ 0⤋
3.125 Liters
Why?
Well, it says 5L over a period of 24 hours. So how much is used/taken in after 1 hour? 24/24=1, 5/24=0.20833333333...
Then it says how much will be left after 9 hours. You know now that each hour about 0.208 of the solution is taken away. Therefore, multiply 0.2083333... by 9. You get 1.875. That's how much was taken away. So how much is left? the original amount minus the amount taken away, or 5-1.875, and you get 3.125.
2007-10-23 15:42:03 · answer #5 · answered by ? 5 · 0⤊ 2⤋
you administer 5L/ 24 hr
that means .2083L per hour
in 9 hours you have used up
9*.2083 = 1.875L of dextrose
what will be left is
5-1.875L = 3.125L of dextrose solution
2007-10-23 15:41:51 · answer #6 · answered by nightvolt 2 · 1⤊ 0⤋
Assuming dextrose solution is being injected all 24 hours:
5 litres in 24 hours
---> 5000 ml in 24 hrs.
---> (5000/24) ml in 1 hr.
---> 9(5000/24) ml in 9 hrs.
---> 3*625 ml in 9 hrs.
---> 1875 ml in 9 hrs.
1875 ml is used up in 9 hrs.
Amount of dextrose solution left after 9 hrs (in ml)
= (5000 - 1875) ml
= 3125 ml
= 3.125 liters.
3.125 litres will be left over after 9 hours.
2007-10-23 15:47:15 · answer #7 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 0⤋
Well you want to administer an equal amout of solution over 24hrs...so each hour would be 5/24 = 0.2083L/hr
After 9 hours it would be 5-(.2083*9) = 3.125L
2007-10-23 15:42:19 · answer #8 · answered by Anonymous · 0⤊ 0⤋
I'm not the greatest at math, but I think its:
5 litres divided by 24 hours = 0.2083 litres times 9 hours = 1.875 litres. Then take 5 litres minus 1.875 litres =
3.125 Litres
2007-10-23 15:42:12 · answer #9 · answered by Anonymous · 1⤊ 1⤋
make a proportion
5 over 24 = x over 9 then solve
2007-10-23 15:38:20 · answer #10 · answered by ¡•ziggy•¡ 3 · 1⤊ 0⤋