Question

Millie, Josh and Libby receive a bonus at work. They are paid in the ratio of 2 : 3 : 4.

Josh's share is £105.



What was the total amount of the bonus before they shared it?

Answer 1

Based on the problem above, the given values are as follows:
2:3:4 = Ratio of Millie, Josh and Libby's bonus
£105=Josh's share of the bonus
?=total amount of the bonus they shared.
In order to get this, we need to solve for Millie's and Libby's bonuses.
So to get Millie's share:
we do this.
2/3 : x/105. Cross multiply and divide and we get x=70. Therefore, Millie's share is £70.
Next is Libby's:
3/4 : 105/y. Cross multiply and divide and we get y=140. Therefore, Libby's share is £140.
Now, add up everything and we get £315. So the total amount of the bonus before they shared it is £315.