# An amount of $180 is shared among threepeople in the ratiox:y:z . find thesmallest and the largest sharegiven that x=3 y=1

1 answer

###### Question:

An amount of $180 is shared among three people in the ratio

x:y:z . find the

smallest and the largest share

given that x=3 y=1 z=11

x:y:z . find the

smallest and the largest share

given that x=3 y=1 z=11

## Answers

$110 and $30

Step-by-step explanation:

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

[tex]4 + 11 + 3 = 18[/tex]

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

[tex]x = \frac{4}{18}[/tex]

[tex]y = \frac{11}{18}[/tex]

[tex]z = \frac{3}{18}[/tex]

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

Largest:

[tex]\frac{11}{18} \times 180 = 110[/tex]

Smallest:

[tex]\frac{3}{18} \times 180 = 30[/tex]

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