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Jacob visited the fruits garden last weekend and helped farmers count the fruits. There were 20% more oranges than grapes. When 126 fruits were added, the oranges were increased by 10% and the grapes increased by 9%. How many fruits were there at first?

 Mar 9, 2019
 #1
avatar+4781 
+4

There were 20% more oranges than grapes. 

\(o = (1+0.2)g\) 

 

When 126 fruits were added, the oranges were increased by 10% and the grapes increased by 9%

\((1+0.1)o + (1+0.09)g = o + g + 126\) 

 

Plug the first equation into the second and simplify and solve for g

 

Then use that value to calculate o

 

Finally find o + g

 Mar 9, 2019
 #2
avatar+99519 
0

Let the original number of grapes = x

Then the original number of oranges = 1.2x

10% increase in oranges = (1.1)(1.2)x

9% increase in number of grapes = (1/09)x

 

So.....when126 fruits were added

 

x + 1.2x + 126  =  (1.1)(1.2)x  + (1.09)x        simplify

 

2.2x + 126  =  1.32x + 1.09x

 

2.2x - 1.32x - 1.09 x  =  - 126

 

-.21x = -126   divide both sides by  -.21

 

x = 600  =   original number of grapes

 

1.2(600)  =  720  =  original number of oranges

 

 

cool cool cool

 Mar 9, 2019
 #3
avatar+4781 
+1

dude

Rom  Mar 9, 2019
 #4
avatar+100066 
+1

For goodness sakes Chris, stop putting full answers after people have tried to teach something.

 

You are preventing children from learning and you are facilitating cheating!

 Mar 10, 2019
edited by Melody  Mar 10, 2019

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