To keep his basketball team hydrated, Daniel mixes a powdered sports drink with cold water. For best taste the mix should be 96% water. If Danial has used 16 scoops of powder and added two quarts of water, how many gallons of water should he add, given than each scoop is 1/4 of a cup?
Thank you!
To find out how many gallons of water Daniel should add, we first need to determine the total volume of the mixture.
Given that one quart is equal to 4 cups, the total volume of water Daniel has added is 2 quarts * 4 cups/quart = 8 cups.
Since the mixture should be 96% water, the remaining 4% will be the proportion of the powder. Hence, the total volume of the mixture can be calculated as:
Total volume = Volume of water / Proportion of water in the mixture
Total volume = 8 cups / 0.96
Now, let's convert the total volume from cups to gallons. Since there are 16 cups in a gallon, we divide the total volume by 16 to get the volume in gallons:
Volume in gallons = Total volume / 16
Substituting in the values:
Volume in gallons = (8 cups / 0.96) / 16
Calculating this expression, we find that Daniel should add approximately 0.52 gallons of water to achieve the desired 96% water concentration.