Question

Easy points ^^

alice, mio, and grace had a sum of money which they shared in the ratio or 5:4:3 grace gave alice £10 and the money was now in the ratio 4:3:2. the total money remained the same. how much money did they share?

Answer 1

Explanation:

x = Alice's money

y = Mio's money

z = Grace's money

x + y + z = sum

there are originality 5+4+3 = 12 parts of the money shared between them.

x = 5/12 sum

y = 4/12 sum

z = 3/12 sum

after the money transfer we are only having 4+3+2 = 9 parts of the same money distributed.

so, we are dealing with 1/9 parts.

let's bring everything to 1/36 to be able to truly compare things.

therefore

x = 15/36 sum

y = 12/36 sum

z = 9/36 sum

15/36 sum + 10 = 16/36 sum

because 4/9 = 16/36

10 = 1/36 sum

sum = 10×36 = £360

so, together they have £360.

and they had before the £10 transfer £150, £120, £90.

after the £10 transfer they had £160, £120, £80.