Question

The ratio of the number of apples to the number of oranges is 5:7. The ratio of the number of oranges to bananas is 8:9. There is a total of 3180 fruits. How many bananas are there?
Please help!

Answer 1

mutliply 8*9

Answer 2

Let A = apples, OR = oranges and B = Banana

Write the ratio in proportional form (see diagram)
Cross multiple, solve in terms of A = ??? OR and B = ??? OR

Then substitute A and B into the sum of fruits equation

A + OR + B =3180

and solve for OR (the math can get a bit tricky)

Once you know OR, you can solve for B with equation B = ??? OR

Answer 3

Eq 1 A = (5/7) OR
Eq 2 B = (9/8) OR

Eq 3 A + OR + B = 3180

Eq 4 (5/7) OR + OR + (9/8) OR = 3180

OR = ??? so now B = (9/8) times ???

Answer 4

Thanks for your help...........that was easy to get with your help!