Hi!
We will solve this using proportions, like this:
24 patients in 5 hours
x patients in 8 hours
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x = (24*8)/5
x = 192/5
x = 38,4
The nurse will be able to see 38,4 patients in a 8-hour period, but because it's patients we are talking about, living things which can't be represented in decimal form, the nurse will be able to see approximately 38 patients in a 8-hour period.
Hope this helps!