Question

1. marty finds a recipe for a homemade cleaning agent to clean the 6 drains in his house. the recipe calls for \\(\frac{1}{2}\\) cup of baking soda, \\(\frac{1}{4}\\) cup of table salt, and 1 cup of vinegar. the quantities in the recipe are enough to clean only 1 drain. how much of each ingredient does marty need to clean 6 drains?\

\\(\bigcirc\\) 6 cups of all ingredients\
\\(\bigcirc\\) \\(\frac{1}{2}\\) cup of baking soda, \\(\frac{1}{4}\\) cup of table salt, and 1 cup of vinegar\
\\(\bigcirc\\) \\(\frac{1}{12}\\) cup of baking soda, \\(\frac{1}{24}\\) cup of table salt, and 6 cups of vinegar\
\\(\bigcirc\\) 3 cups of baking soda, \\(1\frac{1}{2}\\) cups of table salt, and 6 cups of vinegar

Explanation:

Step1: Calculate baking soda for 6 drains

To find the amount of baking soda needed for 6 drains, we multiply the amount for 1 drain ($\frac{1}{2}$ cup) by 6. So, $\frac{1}{2} \times 6 = 3$ cups.

Step2: Calculate table salt for 6 drains

For table salt, the amount for 1 drain is $\frac{1}{4}$ cup. Multiplying by 6 gives $\frac{1}{4} \times 6 = \frac{6}{4} = 1\frac{1}{2}$ cups.

Step3: Calculate vinegar for 6 drains

The amount of vinegar for 1 drain is 1 cup. Multiplying by 6 gives $1 \times 6 = 6$ cups.

Answer:

3 cups of baking soda, $1\frac{1}{2}$ cups of table salt, and 6 cups of vinegar (the last option: 3 cups of baking soda, $1\frac{1}{2}$ cups of table salt, and 6 cups of vinegar)