SOLUTION: hello, i'm having trouble on my math homework. we have something called the problem of the week, and i dont know what the process is, so could you help me with the process? the que

Question 277234: hello, i'm having trouble on my math homework. we have something called the problem of the week, and i dont know what the process is, so could you help me with the process? the question is: Three if the teachers on the north star team decided that they needed some extra money. They made a decision to open a cookie store that featured bear-size cookies. Mr. V and Mr. S decorated the cookies and Mr. L sold the cookies. Mr. V could decorate a cookie in 7 minutes, Mr. S could decorate a cookie in 12 minutes. But Mr. L was eating a cookie every 9 minutes. If these teachers open the store and have no cookies decorated, how long will it take them to produce 500 decorated cookies that can be sold?
i just need the process and how to do the process because i'm having trouble and my teacher wouldnt help me.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

V can make a cookie in 7 minutes, so it stands to reason that he can make

th of a cookie in one minute. Likewise, S can make

th of a cookie in one minute, but L subtracts

th of a cookie each minute.

All three working together (or against one another in the case of L) make:

cookies in one minute.

But then we can say that working together the three can make a single cookie in

minutes. Calculate that mess and then multiply by 500 to get the amount of time for 500 cookies, then divide that result by 60 to get the number of hours.

Warning! The fractions in this problem, because of the fact that the given numbers of minutes are all co-prime, are uglier than a mud fence. Be prepared to round off your decimal fractions at the end.

John

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