The Robert's and Alexis' Ice Cream store sells ice cream shakes made of ice cream and milk......?

Question

The milk used has 1% fat and the ice cream has 25% fat. James is in charge of making shakes. Today's mix had a total of 9% fat. If James used 8 quarts of milk, how many quarts does the entire mixture contain?

Answer 1

Percent(quantity) + percent (quantity) = final percent (final quantity)

Milk + Cream = Ice cream
1(8) + 25(x) = 9(8+x)

Now solve for x. Once you have the value for x add 8 to it to get the total number of quarts used for the mixture.

Hope this helps. :)

Answer 2

8 qts of 1% fat +x qts of 25% fat =(8+x) qts of 9% fat
8*.01+.25x=(8+x)*.09
.08+.25x=.72+.09x
.25x-.09x=.72-.08
.16x=.64
x=.64/.16=4 qts of ice cream

check
8*.01+4*.25=.09*(8+4)
.08+1=.09*12
1.08=1.08

Answer 3

we know: where v = total volume, i = volume of ice cream and m =volume of milk:
0.09v = 0.01m + 0.25i
and v = m + i

so 0.09v = 0.01m +0.25(v-m)
but m = 8
so 0.09v = 0.09 +0.25(v-8)
so 3.91 = 0.16v
so v = 24.4375 quarts