Question 73099: I have to create a system of equations from the given word problem and I can't figure out how to do it... the word problem is... As a participant in your schools community service project, you volunteer a total of 40 hours over the course of the school year. Your volunteer hours include serving at a soup kitchen, picking up trash at several local parks, and collecting toys for needy children. You spend 4 times as many hours collecting toys as picking up trash, and 2 hours less serving at the soup kitchen than picking up trash. Write a system of equations to represent the given information. Define your variables as s,p, and c for the hours of serving at a soup kitchen, picking up trash, and collecting toys. Can you help me please?
Answer by Edwin McCravy(20064)   (Show Source):
You can put this solution on YOUR website! I have to create a system of equations from
the given word problem and I can't figure out
how to do it... the word problem is... As a
participant in your schools community service
project, you volunteer a total of 40 hours
over the course of the school year. Your
volunteer hours include serving at a soup
kitchen, picking up trash at several local
parks, and collecting toys for needy children.
You spend 4 times as many hours collecting toys
as picking up trash, and 2 hours less serving at
the soup kitchen than picking up trash. Write a
system of equations to represent the given
information. Define your variables as s,p, and c
for the hours of serving at a soup kitchen,
picking up trash, and collecting toys. Can you
help me please?
>>...a total of 40 hours...<<
Translation: s + p + c = 40
>>...4 times as many hours collecting
toys as picking up trash...<<
Translation: c = 4p
>>...2 hours less serving at the soup
kitchen than picking up trash...<<
Translation: s = p - 2
So the system of equations is:
s + p + c = 40
c = 4p
s = p - 2
Can you solve that system? If not post again
asking how.
Answer: s = 5 hr, p = 7 hr, c = 28 hr
Edwin
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