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?

Guest Mar 9, 2019

#1**+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*

Rom Mar 9, 2019

#2**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

CPhill Mar 9, 2019