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
Samson uses

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,



Let Samson use

gallons of water for 30 plants at the same rate.

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



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



We rewrite the ratio as fractions to obtain,



We multiply both sides by 30 to obtain,



We cancel the common factors to get,



Therefore


Hence Samson uses 9 gallons to water 30 plants.