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

14 cups
14 cups

21 cups
21 cups

7 cups
7 cups

28 cups
28 cups .

1 answer

The recipe calls for 2 parts borax, 2 parts washing soda, and 1 part soap flakes. If Lenny uses 7 cups of soap flakes, we first determine the total parts in the recipe.

The total parts are:

  • 2 parts borax
  • 2 parts washing soda
  • 1 part soap flakes

This is a total of \(2 + 2 + 1 = 5\) parts.

Since he's using 7 cups of soap flakes (which corresponds to 1 part), we can find out how much one part is worth in terms of cups:

1 part = 7 cups.

Now we can calculate the amounts for borax and washing soda, which are both 2 parts each:

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

To find the combined amount of borax and washing soda, we add these two amounts:

\(14 \text{ cups} + 14 \text{ cups} = 28 \text{ cups}\)

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