How do you divide £1000 in a ratio of 2:3?

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Answer 1 · 2018-05-11T23:28:40

£400:£600

2+3=5

#1000/5=200#

#2 xx 200:3 xx 200= 400:600#

Answer 2 · 2018-05-11T23:33:39

£400 : £600.

Take the numbers in the ratio #2:3#, and add them together.

#2+3=5#

We would like to break £1000 into 5 equal pieces; 2 of those pieces will form the first part, and the other 3 pieces will make up the other part.

We divide £1000 into 5 equal pieces:

#(£1000)/5 = £200#

So each of the 5 pieces is £200.

The first part gets 2 of these pieces, which is:

#£200 xx 2 = £400#

The last part gets the other 3 pieces:

#£200 xx 3 = £600#

We can double-check that this partitioning is indeed a proper split of £1000 by adding them up, and by taking their ratio.

#£400 + £600 = £1000# (matches original £1000)

and

#(£400)/(£600) = 4/6 = 2/3# (matches original 2 : 3)

Hope this helps!