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64% of the fruits at a stall are oranges. The rest are apples and pears in the ratio 4:5. There are 880 more oranges than pears. How many fruits are there at the stall altogether?

 Aug 2, 2015

Best Answer 

 #1
avatar+128475 
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64% of the fruits at a stall are oranges. The rest are apples and pears in the ratio 4:5. There are 880 more oranges than pears. How many fruits are there at the stall altogether?

 

This is similar to the other problem.....the apples and pears comprise the other 36%...and if they're in the ratio of 4:5  .....  there must be  16% apples and 20% pears.....

 

Again, let T be the total....and we know that

 

.64T = .20T + 880    subtract .20T   from both sides

 

.44T  = 880      divide both sides by .44

 

T = 880/.44  = 2000 total fruits

 

Check  .....there are .64 x 2000 = 1280 oranges

 

And there are .20  x 2000 = 400  pears

 

And (1280 - 400)  = 880

 

 

 

 Aug 2, 2015
 #1
avatar+128475 
+10
Best Answer

64% of the fruits at a stall are oranges. The rest are apples and pears in the ratio 4:5. There are 880 more oranges than pears. How many fruits are there at the stall altogether?

 

This is similar to the other problem.....the apples and pears comprise the other 36%...and if they're in the ratio of 4:5  .....  there must be  16% apples and 20% pears.....

 

Again, let T be the total....and we know that

 

.64T = .20T + 880    subtract .20T   from both sides

 

.44T  = 880      divide both sides by .44

 

T = 880/.44  = 2000 total fruits

 

Check  .....there are .64 x 2000 = 1280 oranges

 

And there are .20  x 2000 = 400  pears

 

And (1280 - 400)  = 880

 

 

 

CPhill Aug 2, 2015

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