SOLUTION: carlos worked 31.5 hours at a hospital as a volunteer. this represents 87.5% of his schools requirement for community service. how many hours does his school require for community

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: carlos worked 31.5 hours at a hospital as a volunteer. this represents 87.5% of his schools requirement for community service. how many hours does his school require for community       Log On


   



Question 373440: carlos worked 31.5 hours at a hospital as a volunteer. this represents 87.5% of his schools requirement for community service. how many hours does his school require for community service
Found 2 solutions by fractalier, josmiceli:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
For this you can set up the proportion
31.5 is to x as 87.5% is to 100%, that is
31.5%2Fx+=+87.5%2F100
Normally we might cross-multiply, but notice that 87.5/100 reduces to 7/8...so we can simply write
31.5%2Fx+=+7%2F8 and
7x+=+8+x+31.5+=+252 and
x = 36 hours

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = his school's requirement for community service
31.5+=+.875x
x+=+31.5%2F.875
x+=+36
36 hours is the requirement