Question

An amount of $180 is shared among three people in the ratio x: y: z.

Find the smallest and largest share, given that x = 4, y = 11 and z = 3.

Answer 1

$110 and $30

Explanation:

To solve this, we need to know the total share which is,

`4 + 11 + 3 = 18`

Then, you need to know the fraction of the share over the total, such that

`x = (4)/(18)`

`y = (11)/(18)`

`z = (3)/(18)`

So if to find how much that'll be of the $180 for the largest and smallest share,

Largest:

`(11)/(18) * 180 = 110`

Smallest:

`(3)/(18) * 180 = 30`