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Anil, Bel, and Chak found many golden eggs. For every 5 eggs that Anil found, Bel found 4. For every 5 eggs that Bel found, Chak found 6. They must have a total of at least ____ eggs.

 Jan 11, 2019

Best Answer 

 #1
avatar+18324 
+2

A:B:C

5:4

   5:6       We need the least common multiple of 4 and 5 (it is 20) to make the B work

                 if we make B 20, an increase of a factor of 5, we must increase A  by a factor of 5 and C by a factor of 4

 

A:  B:   C
25:20:24     25 +20 + 24  = 69 eggs

 

 

 

 

Another way     A/B = 5/4     B/C = 5/6       so   A/B  *  B/C  = A/C     =  5/4 * 5/6 = 25/24   in simplest form 

                                                                  if A = 25  and  C = 24   then   B = 20

 Jan 11, 2019
edited by ElectricPavlov  Jan 11, 2019
 #1
avatar+18324 
+2
Best Answer

A:B:C

5:4

   5:6       We need the least common multiple of 4 and 5 (it is 20) to make the B work

                 if we make B 20, an increase of a factor of 5, we must increase A  by a factor of 5 and C by a factor of 4

 

A:  B:   C
25:20:24     25 +20 + 24  = 69 eggs

 

 

 

 

Another way     A/B = 5/4     B/C = 5/6       so   A/B  *  B/C  = A/C     =  5/4 * 5/6 = 25/24   in simplest form 

                                                                  if A = 25  and  C = 24   then   B = 20

ElectricPavlov Jan 11, 2019
edited by ElectricPavlov  Jan 11, 2019

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