If a 150 bed facility averages 90% occupancy, and during a 30 day month has total expenses of 202, 500, what is the average cost per resident per day

$50/day

Step-by-step explanation:

If 90% of 150 beds are occupied, the .90 × 150 are occupied, or 135 beds.  The total expenses for ALL the residents for the month is 202,500.  We need the cost per day for all the residents, then when we know that we can find the cost per day of one resident.

202,500 ÷ 30 = $6750 for one day for ALL residents

$6750 ÷ 135 = $50 for one day for a single resident

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23