Lenny is making his own laundry soap. The recipe calls for 2 parts borax, 2 parts washing soda, and 1 part soap flakes. If Lenny uses 7 cups of soap flakes, how many cups of borax and washing soda combined does he need?(1 point)

Question

Responses

7 cups
7 cups

28 cups
28 cups

14 cups
14 cups

21 cups

Answer 1

The recipe calls for 2 parts borax, 2 parts washing soda, and 1 part soap flakes. This means for every 1 part of soap flakes, there are 2 parts of borax and 2 parts of washing soda.

If Lenny is using 7 cups of soap flakes, we can set up the ratio:

• 1 part soap flakes => 2 parts borax + 2 parts washing soda

This means for 7 cups of soap flakes, the amount of borax and washing soda would be:

• Borax: \(2 \text{ parts} \times 7 \text{ cups} = 14 \text{ cups}\)
• Washing Soda: \(2 \text{ parts} \times 7 \text{ cups} = 14 \text{ cups}\)

Adding both together gives:

\(14 \text{ cups of borax} + 14 \text{ cups of washing soda} = 28 \text{ cups total}\)

Therefore, Lenny needs 28 cups of borax and washing soda combined.

Answer 2

Lisa adds 2 tsp baking soda to 6 lbs. of flour. How much baking soda should she add to 9 lbs. of flour?(1 point)
Responses

9 tsp
9 tsp

18 tsp
18 tsp

27 tsp
27 tsp

3 tsp

Answer 3

To determine how much baking soda Lisa should add to 9 lbs. of flour based on the amount she used for 6 lbs., we can set up a proportion.

Lisa uses 2 tsp of baking soda for 6 lbs of flour. Therefore, for 1 lb of flour, the amount of baking soda is:

\[ \text{Baking soda per lb} = \frac{2 \text{ tsp}}{6 \text{ lbs}} = \frac{1}{3} \text{ tsp per lb} \]

Now we calculate how much baking soda is needed for 9 lbs of flour:

\[ \text{Baking soda for 9 lbs} = 9 \text{ lbs} \times \frac{1}{3} \text{ tsp per lb} = 3 \text{ tsp} \]

Thus, Lisa should add 3 tsp of baking soda to 9 lbs. of flour.