Asked by Meghan

Snape has 2000 mL of a magic potion that is 30% DeMuggle Juice. He also has hundreds of 25 mL bottles that are full of 75% DeMuggle Juice solution. Every time he waves his wand, one of these bottles is added to his magic potion. How many times must he wave his wand to have a solution that is at least 34% DeMuggle Juice?

Please walk me through this problem at a 7th grade level, because I do not know how to start or complete this problem. Thank you!
Answered by Quidditch
Let A=Total amount of the stronger (75%) DeMuggle juice potion added in ml.
The percent of DeMuggle juice is:
(total DeMuggle juice)/(total volume of potion)
The final total DeMuggle juice is:
2000ml(30%) + A(%75)
=600ml + 0.75A
The final total volume of potion is:
2000ml + A

The final ratio is:
(600ml + 0.75A)/(2000ml + A)

Setting that to the desired strength of %34:
(600ml + 0.75A)/(2000ml + A) = 0.34
600ml + 0.75A = (0.34)(2000ml + A)
600ml + 0.75A = 680ml + 0.34A
0.41A = 80ml
A = ?
How many wand waves to Snape have to do to get to this? (Recall that each wave adds a 25ml bottle.)
Answered by Anonymous
32423424.5675
Answered by Dylan
24
Answered by james
-7x+-3
Answered by jesus
32423424.5675
Answered by Anonymous
what does slope mean
Answered by Genuis
Look, the answer is 8.
Answered by You dumb
8 Times
Answered by Helen
The answer is 8
Answered by bruh
8 since 80/0.41 is 195.12, so divide by 25 to get 7.8 rounding up gives 8
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