SOLUTION: Cook made c cookies which fed s students for 10 days. How many days would it take m more students to eat the same amount of cookies? Thank you so much!!

Question 891499: Cook made c cookies which fed s students for 10 days. How many days would it take m more students to eat the same amount of cookies?
Thank you so much!!
Found 2 solutions by richwmiller, josmiceli:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Let's put in some numbers.
The baker made 200 cookies which fed 5 students for 10 days. How many days would it take 15 more students to eat the same amount of cookies?

200/5=40 c/s
40/10= 4 cookies a day c/10s cookies per day
add 15 students
200/20=10 c/(s+m)
10/4=2.5 days (c/(s+m))/(c/10s)
c=200 s=5 m=15
(c/(s+m))/(c/10s)=10s/(s+m)
10s/(s+m)

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
It sounds like they want you to find out the
rate at which students consume cookies
Over days, the rate is cookies / student
--------------------------
The rate you want, though, is ( cookies / student ) / ( days to eat them )

----------------------------
Adding more students means you now have students
Let = the number of days for the students to
consume cookies
------------------------
You can set up the proportion:
( rate #1 ) = ( rate #2 )

Multiply both sides by

Divide both sides by

answer
--------------------------------
Check:
Let
Let
Let
----------------

This is 1/2 a cookie per student per day
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If you add more students,

-----------------------------------
This is the same rate of eating, so

So 25 students go through 100 cookies
in 8 days instead of 10- hope that's right

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