To keep his baseball team hydrated, Daniel mixes a powdered sports drink with Fo

Question

To keep his baseball team hydrated, Daniel mixes a powdered sports drink with For best taste, the mix should be 95% water. If Daniel has used 16 scoops of powder added 2 quarts of water, how many gallons of water should he add, given that each is 1/4 cup? A village wants to build a community center that is projected to cost 1.2 million dollars. Cost per resident is increased by $3 as it is discovered that there are 225 fewer residents than when planning began 2 years ago. What is the revised cost per resident?

Explanation / Answer

we know that

8 ounces = 1 cup

32 ounces = 1 quart

so , 1 gallon = 128 ounces = 4 quarts

each scoop is 1/4 cup

so 16 scoops = 16* 1/4 cup = 4 cups

4 cups = 1 quart

let x is quarts of water used

setting up the equation

x / ( x+1) = 0.96

x = 0.96 ( x+1)

x =0.96 x+ 0.96

x = 0.96 / 0.04

x = 24

water used = 24 quarts

converting it to gallons

24 quarts = 6 gallons water

so, 6 gallons water is used

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