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.