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10. marty finds a recipe for a homemade cleaning agent to clean the 6 d…

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

Explanation:

Step1: Calculate baking soda for 6 drains

The recipe for 1 drain needs $\frac{1}{2}$ cup of baking soda. For 6 drains, we multiply by 6: $\frac{1}{2} \times 6 = 3$ cups.

Step2: Calculate table salt for 6 drains

For 1 drain, $\frac{1}{4}$ cup of table salt is needed. For 6 drains: $\frac{1}{4} \times 6 = \frac{6}{4} = 1\frac{1}{2}$ cups.

Step3: Calculate vinegar for 6 drains

For 1 drain, 1 cup of vinegar is needed. For 6 drains: $1 \times 6 = 6$ cups.

Answer:

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