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at a street racket sold small apples for 25 cants and small pears for 30 cents and small oranges for 40 cents at the end of the day the farmer had the same amount of money from each type of fruit what is the least amount of money the farmer could have made selling pears

 Dec 12, 2014

Best Answer 

 #1
avatar+130511 
+5

We need to get a common denominator between 25, 30 and 40

25 = 5^2

30 = 2  x 3 x 5

40 = 2^3 x 5

So....the common denomimator = 2^3 x 3 x 5^2  = 8 x 3 x 5 = 24 x 25 =  600

To make the same amount of money from each he would have sold

600/25 apples  = 24 apples

600/30 pears = 20  pears  and

600/40 oranges = 15 oranges

So....20 pears is the fewest that he could have sold if the money he made from selling each type of fruit was equal.......and 20 pears would have cost $6.00

 

 Dec 12, 2014
 #1
avatar+130511 
+5
Best Answer

We need to get a common denominator between 25, 30 and 40

25 = 5^2

30 = 2  x 3 x 5

40 = 2^3 x 5

So....the common denomimator = 2^3 x 3 x 5^2  = 8 x 3 x 5 = 24 x 25 =  600

To make the same amount of money from each he would have sold

600/25 apples  = 24 apples

600/30 pears = 20  pears  and

600/40 oranges = 15 oranges

So....20 pears is the fewest that he could have sold if the money he made from selling each type of fruit was equal.......and 20 pears would have cost $6.00

 

CPhill Dec 12, 2014

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