Directions: Solve the value of X using ratio in proportion of the following.
(1) The east Avenue Medical Center has a group of 9 doctors who provide assistance to 12 patients. How many doctors are required to provide assistance to 24 patients?
(2) If the hospital can accomodate 25 patients in 5 rooms, how many patient can it accomodate in 20 rooms?
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(1) The east Avenue Medical Center has a group of 9 doctors who provide assistance to 12 patients. How many doctors are required to provide assistance to 24 patients?
(2) If the hospital can accomodate 25 patients in 5 rooms, how many patient can it accomodate in 20 rooms?
Yong sa pic din po pasagot thank you
Answers & Comments
(1) We can set up the ratio of doctors to patients as 9/12 = x/24, where x is the number of doctors required to assist 24 patients. To solve for x, we can cross-multiply and simplify:
9/12 = x/24
9(24) = 12x
216 = 12x
x = 18
Therefore, 18 doctors are required to provide assistance to 24 patients.
(2) We can set up the ratio of patients to rooms as 25/5 = x/20, where x is the number of patients that can be accommodated in 20 rooms. To solve for x, we can again cross-multiply and simplify:
25/5 = x/20
5x = 500
x = 100
Therefore, the hospital can accommodate 100 patients in 20 rooms.