starfish53:

Can anyone help me with the following question?


A fruit seller packed some oranges into 22 big carton boxes and 8 small carton boxes. There were 14 more oranges in a big carton box than in a small box. The ratio of number of oranges packed into big carton boxes to the number of oranges packed into small carton boxes was 3 : 1. How many oranges did the fruit seller pack altogether?

:thankyou:

Hi,
As it is given ratio of big to small is 3:1
Using the model you will come up with will be:

http://i43.tinypic.com/2hzscxw.png\">

Looking at the model, you can see that two units is equivalent to 14. Thus you can tell that 1 unit is 7.

Therefore in a big box, there are 7X3 = 21 oranges
and in a small box there are 7 oranges.

22 big cartons= 21X 22 = 462
8 small cartons= 7 X 8 = 56
Total packed oranges will be 462+56=518

The working will be like this:
2 units = 14
1 unit = 7 (small carton)
3 units = 21 (Big carton)
22 big cartons = 22 X 21 = 462
8 small cartons = 8 X 7 = 56
Total oranges packed = 462+56 = 518

The fruit seller packed 518 oranges altogether.