SOLUTION: Blake and his children went into a restaurant where they sell hotdogs for $3 each and drinks for $2 each. Blake has $35 to spend and must buy at least 13 hotdogs and drinks altoget

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Blake and his children went into a restaurant where they sell hotdogs for $3 each and drinks for $2 each. Blake has $35 to spend and must buy at least 13 hotdogs and drinks altoget      Log On


   

Question 1205422: Blake and his children went into a restaurant where they sell hotdogs for $3 each and drinks for $2 each. Blake has $35 to spend and must buy at least 13 hotdogs and drinks altogether. If Blake decided to buy 7 drinks, determine the maximum number of hotdogs that he could buy.
Found 3 solutions by greenestamps, Edwin McCravy, ikleyn:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The 7 drinks cost a total of 7($2) = $14.

That leaves $35-$14 = $21 for buying hot dogs. At $3 each, the maximum number of hot dogs he can buy is $21/$3 = 7.

Since the problem asks for the maximum number of hot dogs he can buy, the information that he must buy at least 13 drinks and hot dogs together is irrelevant; 7 drinks and 7 hot dogs is more than 13 total items.

ANSWER: 7

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

system%283h%2B2d%3C=35%2Ch%2Bd%3E=13%2Cd=7%29

system%283h%2B2%287%29%3C=35%2Ch%2B%287%29%3E=13%2C%287%29=7%29

system%283h%2B14%3C=35%2Ch%3E=6%29

system%283h%3C=21%2Ch%3E=6%29

system%28h%3C=7%2Ch%3E=6%29

6%3C=h%3C=7

So he can either buy 6 or 7 hot dogs. 

So the maximum number of hotdogs is 7.

Edwin

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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Blake and his children went into a restaurant where they highlight%28cross%28sell%29%29 bought hotdogs for $3 each and drinks for $2 each.
Blake has $35 to spend and must buy at least 13 hotdogs and drinks altogether. If Blake decided
to buy 7 drinks, determine the maximum number of hotdogs that he could buy.
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