Question 1116662:  Kira wanted to stock up on drinks for an upcoming party. First she spent $53 on 14 cases of juice and 11 cases of soda, which is all the store had in stock. A few days later, she returned to the store and purchased an additional 14 cases of juice and 8 cases of soda, spending a total of $50. What is the price of each drink? 
 Found 3 solutions by  josgarithmetic, ikleyn, MathTherapy: Answer by josgarithmetic(39630)      (Show Source): 
You can  put this solution on YOUR website! If first and second purchases gave a total of 50 dollars, then the second purchase cost was    which makes no sense.
 
 
Say more specifically, that the FIRST purchase was $53 and the SECOND purchase was $50.  Now, this total IS  $103; and their difference is $3. 
 Answer by ikleyn(52903)      (Show Source): 
You can  put this solution on YOUR website! . 
Kira wanted to stock up on drinks for an upcoming party.  
First she spent $53 on 14 cases of juice and 11 cases of soda, which is all the store had in stock.  
A few days later, she returned to the store and purchased an additional 14 cases of juice and 8 cases of soda, spending a total of $50.  
What is the price of each drink? 
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This problem is for mental solution.
 
 
1.  After reading the condition, you can easily see that the difference $53 - $50 = $3 is exactly the cost of 11-8 = 3 cases of soda,
    so that one case of soda costs 1 dollars.
2.  After finding this, you conclude that 14 cases of juice cost  53 - 11*1 = 42 dollars.  Hence, each case of the juice costs  42/14 = 3 dollars.
 
Solved.
 
 
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To see other similar solved problems,  look into the lesson 
 
    - Solving mentally word problems on two equations in two unknowns 
 
in this site.
 
 
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Ignore writing by @josgarithmetic,  because it is nonsense.
 
 
 
 
 Answer by MathTherapy(10557)      (Show Source): 
You can  put this solution on YOUR website!  
Kira wanted to stock up on drinks for an upcoming party. First she spent $53 on 14 cases of juice and 11 cases of soda, which is all the store had in stock. A few days later, she returned to the store and purchased an additional 14 cases of juice and 8 cases of soda, spending a total of $50. What is the price of each drink? 
Correct answer:    
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