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)

Responses

7 cups
7 cups

21 cups
21 cups

14 cups
14 cups

28 cups
28 cups

1 answer

The recipe calls for 2 parts borax, 2 parts washing soda, and 1 part soap flakes. This means the total parts of the mixture can be represented as:

  • Borax: 2 parts
  • Washing soda: 2 parts
  • Soap flakes: 1 part

Total parts = 2 (borax) + 2 (washing soda) + 1 (soap flakes) = 5 parts.

If Lenny uses 7 cups of soap flakes, which represents 1 part in the recipe, we can find out how many cups each part represents:

1 part = 7 cups (soap flakes).

Now, we'll find the number of cups for the other ingredients using the ratio of their parts:

  • For borax (2 parts): \[ 2 \text{ parts} \times 7 \text{ cups/part} = 14 \text{ cups} \]

  • For washing soda (2 parts): \[ 2 \text{ parts} \times 7 \text{ cups/part} = 14 \text{ cups} \]

Now, to find the total amount of borax and washing soda combined:

\[ 14 \text{ cups (borax)} + 14 \text{ cups (washing soda)} = 28 \text{ cups} \]

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