Ok, First put all the information into an equation. You have 20 gallons of water. You need 2 gallons for every 1 cup of energy drink mix. It should look like this: c=cups of energy drink mix c=20/2 We are finding the number of cups (c) so we need to take the full amount of water (20 gallons) and dividing it by 2 because For every 1 cup, we need 2 Cups of drink mix. Simply: c=20/2 = c=10 you will need 10 cups of drink mixed to make 20 gallons of energy drink. Answer: 10 cups.
ok so we have 1 cup of mix=2 cups of water you can make one of 2 assumptions 1. the mix disolves in the water and doesn't take up space (if so go to AAAAAAAAAAAA)
2. the mix doesn't disolve and takes up space (if so go to BBBBBBBBB)
AAAAAAAAAAA so since the mix doesn't take up space, the pitcher volume=water volume pitcher volume=20 water volume=20
mix=1/2 of water volume mix=1/2 of 20 mix=1/2 times 20 mix=10 cups
BBBBBBBBBBBBBB if the mix does take space 1:2 we add them 1+2=3 3 cups is 1 unit of mix and water how many 3's are in 20
20/3=6 and 2/3 cups
so mix=1 unit=6 and 2/3 cups water=2 unit=2 times 6 and 2/3=13 and 1/3
water=13 and 1/3 cup mix=6 and 2/3 cup
depends on which assumption you make
if AAAAAAAA mix=10 cups
if BBBBBBBBB water=13 and 1/3 cup mix=6 and 2/3 cup