# Easy maths problem to be solved!?

I have this math problem that is supposed to be easy but I can't make it! Any help pls?

-Berta is weighing some fruit.She notes that 2 bananas weigh the same as 3 apples & 5 apples weigh the same as 6 oranges.How many bananas weigh the same as 9 oranges?

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• Dinesh
Lv 6
8 years ago

Let the Bananas be x, Apples be y and Oranges be z.

The question is:

2x = 3y

5y = 6z

9z = ?x

Solution:

x = 3y/2 and y = 6z/5

Hence, x = 3(6z/5)/2

x = 18z/10 i.e. 9z/5

Substituting this in the last equation,

9z = ? x 9z/5

• 8 years ago

Let

Bananas' mass be B

Apples' mass be A

Oranges' mass be O

6O = 5A

1O = (5/6) A

9O = (5/6) x 9 A = 7.5A

3A = 2B

7.5A = (2/3) x 7.5 B = 5B

5 bananas weigh the same as 9 oranges. :)

It uses a bit of proportionality here.

Hope this helps.

Yuv :)

Source(s): Yuv :)
• Anonymous
8 years ago

5 bananas

• Anonymous
8 years ago

2b = 3a 5a = 6o Times the first one by5 and the second one by 3 so the number of apples

is the same

10b = 15a 15a = 18o

It is now clear that 10b = 18o

Divide by 2 to get 5b = 9o