Question

You have 2 fruit punch mixtures with you. The first mixture is 70% fruit
punch and the second is 30% fruit punch. If you want 100 gallons of
40% fruit punch mix how many gallons of each punch will you need?

Answer 1

Answer:

25 gallons of the 70% and 75 gallons of the 30%

Step-by-step explanation:

First, make three baskets. One having x, the second having 100-x, and the third having 100. The reason you have 100-x is because you are adding two unknown numbers, and when you add them they equal 100. And if they add to be 100, 100-x=100-x. To continue, under each basket, write the number of the percent. So the first basket would have 70 under it, the second one would have 30 under it, and the third one would have 40 under it. Then multiply the number inside the basket by the number under. Then you would get 70x+3,000+30x=4,000. Next, 40x+3,000=4,000. Then 40x=1,000. x=25. That's the first basket. For the second, you do 100-25 because of the equation inside the second basket, which is 75. Hope this helps!