Question

Samson uses 6 gallons of water on 20 plants in his garden. At that rate, how much water will it take to water 30 plants?

Answer 1

It will take 9 gallons of water

Answer 2

ANSWER
Samson uses
$9$
gallons to water 30 plants.


EXPLANATION

If Samson uses 6 gallons of water on 20 plants in his garden, then we can write the ratio of gallons to plants as,

$6 : 20$

Let Samson use
$x$
gallons of water for 30 plants at the same rate.


Then we can again write the ratio of gallons to plants as,

$x : 30$

We can now set up the following equation and solve for x.



$6 : 20 = x: 30$


We rewrite the ratio as fractions to obtain,


$\frac{6}{20} = \frac{x}{30}$

We multiply both sides by 30 to obtain,


$30 \times \frac{6}{20} = \frac{x}{30} \times 30$


We cancel the common factors to get,

$3 \times 3 = x$

Therefore
$x = 9$


Hence Samson uses 9 gallons to water 30 plants.