Ratio

Carlo puts tins into small boxes and into large boxes.
He puts 6 tins into each small box.
He puts 20 tins in each large box.

Carlo puts a total of 3000 tins into the boxes so that
number of tins in small boxes : number of tins in large boxes = 2 : 3
Carlo says that less than 30% of the boxes filled with tins are large boxes.

Is Carlo correct?

Reply 1

MiladA

What have you tried so far?

Reply 2

ioanna_rose

Original post by MiladA

What have you tried so far?

I divided 3000 by 5 because 2+3=5
then I times that by the small boxes and large boxes - 2 : 3
I ended up getting the ratio 1200 : 1800
And now I'm not sure how to prove whether he's right or wrong

Reply 3

MiladA

Original post by ioanna_rose

I divided 3000 by 5 because 2+3=5
then I times that by the small boxes and large boxes - 2 : 3
I ended up getting the ratio 1200 : 1800
And now I'm not sure how to prove whether he's right or wrong

I also get 1200:1800 so this means there are 1800 tins in large boxes (total) and 1200 tins in small boxes (total). Now I would compare the total number of tins in the large boxes to the total number of tins (get the percentage and check whether it is less than 30%)

Reply 4

1farzanaa

find 30% of 3000 and see if it is less than 1800

Reply 5

Looptilia

As there are 3000 tins we will have to fraction up the value of tins into how many are in the small and large box SB : LB2 : 3 = 2 3 = 5 3000/5 = 600SB= 600x2 = 1200 tins in small boxes LB = 600x 3 = 1800 tins large boxes You will now have to find the amount of boxes there are of large and small Small boxes 1200/ 6 = 200 small boxes 1800/20 = 90 large boxes To find if Carlo is right - you will have to find the percentage of large boxes amongst the value of all the boxes in total Total boxes = 200 90 = 290 Large boxes = 90 Percentage 90/290 = 0.31044X100 = 31% Carlo is incorrect