need help with answer.. im undecided!!
To keep his baseball team hydrated daniel mixes a powdered sports drink w/cold water. For the best teaste the mix should be 96% water. If Daniel has used 16 scoops of powder and added 2 quarts of water, how many gallons of water shoudl he add, given that each scoop is 1/4 cup?

Question

need help with answer.. im undecided!!
To keep his baseball team hydrated daniel mixes a powdered sports drink w/cold water. For the best teaste the mix should be 96% water. If Daniel has used 16 scoops of powder and added 2 quarts of water, how many gallons of water shoudl he add, given that each scoop is 1/4 cup?

anonymous · Answer

should he add an additional 5 1/2 gallons of water or 6 gallons of water??

dangerousjesse · Answer

$16*.25=4$ cups

dbzfan836 · Answer

that means he should add 96 cups, and you calculate

dangerousjesse · Answer

$$6.5*.95=x$$

dbzfan836 · Answer

96 cups of water

dangerousjesse · Answer

Convert $x$ gallons into $y$ cups and if $y=4$, then 6 gallons is right.

anonymous · Answer

16 scoops x (1/4) cup per scoop = 4 cups powder = 1 quart powder
 
96% water means water / (water + powder) = .96
 
let w = quarts of water
 
w / (w + 1) = .96
 
w = .96(w + 1)
w = .96w + .96
.04w = .96
w = 24 quarts = 6 gallons water
 
He already used 2 quarts (1/2 gallon) so he should add 5 1/2 gallons

anonymous · Answer

I think im going with 5 1/2 gallons

dbzfan836 · Answer

good job, @aballer101

dangerousjesse · Answer

Yes, that was the right answer :)

anonymous · Answer

Thank you guys for the help!