Question

AJ used a ratio of 2 teaspoons of liquid soap for every 3 gallons of water. AJ has 3 tablespoons liquid soap to mix with water. How many gallons of water should he use.

Answer 1

the answer for this equation is 10 gallons of water

Answer 2

To maintain a ratio of 2 teaspoons of liquid soap to 3 gallons of water, AJ, with 3 tablespoons of liquid soap, needs 13.5 gallons of water. This is calculated by converting tablespoons to teaspoons and applying the given ratio.

If AJ uses a ratio of 2 teaspoons of liquid soap for every 3 gallons of water, and he has 3 tablespoons of liquid soap, we need to convert tablespoons to teaspoons since 1 tablespoon is equivalent to 3 teaspoons.

`\[ 3 \, \text{tablespoons} * 3 \, \text{teaspoons/tablespoon} = 9 \, \text{teaspoons} \]`

Now, using the given ratio, for every 2 teaspoons of liquid soap, AJ needs 3 gallons of water. Therefore, for 9 teaspoons of liquid soap:

`\[ \text{Gallons of water} = \frac{9 \, \text{teaspoons} * 3 \, \text{gallons/teaspoon}}{2} = 13.5 \, \text{gallons} \]`

AJ should use 13.5 gallons of water to mix with 3 tablespoons of liquid soap.