Adam, Kate and Rebecca share £160 in the ratio of 2 : 5: 3

Kate says she receives 5 parts and Rebecca 3 parts, so I receive ?? % more than Rebecca.

How do I work out the percentage?

Thanks

Walthamx
Jun 5, 2018

#1**+1 **

We treat parts as variables in this question.

Since Kate says she receives 5 parts, that means she receives 5x.

And, since Rebecca receives 3 parts, that means she receives 3x.

Adam receives 2 parts, which means 2x.

So, 5x+3x+2x=160, 10x=160, x=16

That means each part is worth £16.

What do you mean by I receive ?? % more than Rebecca?

Do you mean Kate or Adam?

Rebecca: 16*3=£48

If it's Kate, then we'll first have to work out the total amount of money Kate has, which is 16*5=£80

If it's Adam, then we'll first have to work out the total amount of money has, which is 16*2=£32

To find the percentage increase, we'll have to do: 80-48/48*100=66.6% increase- Kate

tertre
Jun 5, 2018