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
To determine the amount of borax and washing soda needed, we can multiply the ratio of the soap flakes to the other ingredients by the given quantity of soap flakes.
The ratio for the recipe is 2 parts borax to 2 parts washing soda to 1 part soap flakes.
Let's calculate the amount of borax and washing soda needed using the given quantity of 7 cups of soap flakes.
1. Start with the quantity of soap flakes: 7 cups.
2. Determine the ratio of soap flakes to borax: 1 part soap flakes / 2 parts borax.
Divide the quantity of soap flakes by the denominator of the ratio: 7 cups / 2 = 3.5 cups of borax.
3. Determine the ratio of soap flakes to washing soda: 1 part soap flakes / 2 parts washing soda.
Divide the quantity of soap flakes by the denominator of the ratio: 7 cups / 2 = 3.5 cups of washing soda.
4. Add the calculated amounts of borax and washing soda together: 3.5 cups of borax + 3.5 cups of washing soda = 7 cups.
Therefore, Lenny needs a total of 7 cups of borax and washing soda combined.
To determine the amount of borax and washing soda needed, we will calculate the amount of each ingredient required separately and then combine them.
1. Calculate the amount of borax:
The recipe calls for 2 parts borax for every 1 part soap flakes.
Let's assume one part equals 7 cups of soap flakes.
Therefore, Lenny will need 2 parts of borax, which is 2 * 7 = 14 cups of borax.
2. Calculate the amount of washing soda:
The recipe also calls for 2 parts washing soda for every 1 part soap flakes.
Since one part is equal to 7 cups of soap flakes, Lenny will need 2 * 7 = 14 cups of washing soda.
3. Combine the amounts of borax and washing soda:
Lenny needs 14 cups of borax and 14 cups of washing soda.
Therefore, he will need 14 + 14 = 28 cups of borax and washing soda combined.
The recipe calls for 2 parts borax and 2 parts washing soda. Therefore, the total number of parts for borax and washing soda is 2 + 2 = 4 parts.
Since Lenny is using 7 cups of soap flakes, which is 1 part, we can find the number of parts for borax and washing soda by dividing 7 by 1: 7 / 1 = <<7/1=7>>7 parts.
To find the number of parts for borax and washing soda, we divide 7 parts by 4: 7 / 4 = <<7/4=1.75>>1.75 parts.
Since 1 part is equal to 7 cups, Lenny needs to use 1.75 * 7 = <<1.75*7=12.25>>12.25 cups of borax and washing soda combined. Answer: \boxed{12.25}.