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?
clearly, the bonuses are
(2/3 * 105), 105, (4/3 * 105)
So, the total is 3*105 = 315
dfberfgy
To find the total amount of the bonus before they shared it, we first need to determine the total value of the ratio.
Since the ratio of Millie, Josh, and Libby's shares is given as 2:3:4, we can add the ratios together to get the total value of the ratio.
2 + 3 + 4 = 9
So, the total value of the ratio is 9.
Next, since Josh's share is £105, we can determine how much each unit of the ratio is worth.
£105 / 3 = £35
Now that we know the value of one unit, we can calculate the total amount of the bonus before they shared it.
Total amount of the bonus = Total value of the ratio × Value of one unit
= 9 × £35
= £315
Therefore, the total amount of the bonus before they shared it was £315.
To find the total amount of the bonus before they shared it, we need to determine the value of the whole (which is the sum of the ratios). Let's assign a variable to represent the whole amount of the bonus.
Let's call the whole amount of the bonus "x".
According to the given ratio, Josh's share is in the ratio of 2:3:4. This means that Josh's share is 3 parts out of a total of (2 + 3 + 4) = 9 parts.
Now, we can set up a proportion to find the value of the whole amount:
3/9 = 105/x
To solve for x, we can cross-multiply:
3x = 105 * 9
Next, we can solve for x by dividing both sides of the equation by 3:
x = (105 * 9) / 3
x = 315
Therefore, the total amount of the bonus before they shared it was £315.