The recipe calls for 2 parts borax, 2 parts washing soda, and 1 part soap flakes. If Lenny is using 7 cups of soap flakes, we can determine the amount of borax and washing soda he needs.
Since the parts are given in the ratio of 2:2:1 (borax:washing soda:soap flakes), we can express the parts in terms of a single unit:
- For every 1 part of soap flakes, there are 2 parts of borax and 2 parts of washing soda.
Given that Lenny is using 7 cups of soap flakes, we can calculate the total parts:
Total parts = 2 (borax) + 2 (washing soda) + 1 (soap flakes) = 5 parts
Now we can calculate the amount of each part:
1 part = 7 cups (soap flakes) / 1 = 7 cups
Now we find the amounts needed for borax and washing soda:
- Borax: 2 parts × 7 cups = 14 cups
- Washing soda: 2 parts × 7 cups = 14 cups
Combined, Lenny needs: Borax + Washing soda = 14 cups + 14 cups = 28 cups
Therefore, Lenny needs 28 cups of borax and washing soda combined.