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In a basket, 1/3 of the fruits were pears and the rest were oranges. If I give away 8 oranges, there will be 3/5 as many pears as oranges. How many oranges and pears were there in the basket altogether?

 May 11, 2021
 #1
avatar+32833 
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pears = 1/3 x     oranges = 2/3 x

  then give away 8 oranges  (this is   2/3 x - 8)

1/3 x =  3/5 ( 2/3 x - 8)

1/3 x  = 6/15 x - 24/5

1/15 x = 24/5

x = 72  original fruits

 May 11, 2021
 #2
avatar+93 
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pears = 1/3 x     oranges = 2/3 x

  then give away 8 oranges  (this is   2/3 x - 8)

1/3 x =  3/5 ( 2/3 x - 8)

1/3 x  = 6/15 x - 24/5

1/15 x = 24/5

x = 72  original fruits

 May 11, 2021
 #3
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You copied it from EP

Guest May 12, 2021

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