Question

Marty finds a recipe for a homemade cleaning agent to clean the 6 drains in his house. The recipe calls for 1/2 cup of baking soda, 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 needs to clean 6 drains?

A. 6 cups of all ingredients
B. 3 cups of baking soda, 1 1/2 cups of table salt, and 6 cups of vinegar
C. 1/12 cup of baking soda, 1/24 cup of table salt, and 6 cups of vinegar
D. 1/2 cup of baking soda, 1/4 cup of table salt, and 1 cup of vinegar

Answer 1

So what do you think?

To clean 1 drain he needs
1/2 cup baking soda
1/4 cup table salt
1 cup vinegar

If we want to make enough for 6 drains, how would we calculate that?

Hint: you just need 6 times the ingredients

Answer 2

Is it C?

Answer 3

I think I know where you're going wrong

What is
\( 6 \times \dfrac{1}{2} = ?\)

Answer 4

3

Answer 5

There you go! You have to keep in mind that another way to write 6 is as 6/1 so you multiply the numerators together and the denominators together.

\(\dfrac{6}{1} \times \dfrac{1}{2} = \dfrac{6\times1}{1\times 2} = \dfrac{6}{2} = 3\)


Now similarly, what about
\( 6 \times \dfrac{1}{4} = ?\)

Answer 6

3/2

Answer 7

Good, now what do you think the answer is?

Answer 8

Sorry, I am still a little confused

Answer 9

what are you confused about?

Answer 10

Let's say you want to make a smoothie

To make 1 cup of your favorite smoothie, you need
1 banana
1 cup of milk
1/2 cup of sugar

But now you have two friends coming over so you have to make THREE cups of smoothie.

How many bananas do you need?
When you were making ONE cup of smoothie for yourself, you needed 1banana.
If you want to make THREE cups, you need to have THREE times as many bananas.

You need
3 * 1 = 3 bananas

SIMILARLY
For ONE cup of smoothie, you needed 1 cup of milk
To make THREE cups, you need THREE times as much milk.

You'll need 3 * 1 = 3 cups of milk to make THREE smoothies

Finally,
For ONE cup of smoothie, you needed 1/2 cup of milk
To make THREE cups of smoothie, you need THREE times as much sugar

\(\dfrac{1}{2} \times 3 = \dfrac{3}{2}\)

\( \dfrac{3}{2}= 1.5\)

You would need 1.5 cups of sugar to make THREE cups.

Answer 11

Does that example help?

Answer 12

lol smort