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Albert bought a number of apples. 4/5 of the green apples was equal to 3/4 of the red apples. He sold 105 green apples and 102 red apples. After that, the ratio of the number of green apples to the number of red apples became 5:6. How many apples did Albert have left in the end?

 Aug 25, 2021
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4/5 g   =   3/4 r       this is given.

re-arrange to   g = 15/16 r

 

then

 

(g - 105 )  / (r-102)  = 5/6 

g-105   =  5/6 (r-102)          sub in the red equation

15/16 r  - 105  = 5/6 r  - 85

r = 192     then using the red equation again  g = 180   for a total = 372 apples originally

     then he sold 105 + 102

         372 - ( 105+102) = 165 aplles left

 Oct 7, 2021

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