Milk and cream contain different percents of butterfat. How much 3% milk needs to be mixed with how much 15% cream go give 20 L if 6% cream?

Answer:The 3% milk quantity to be mixed is 15 liters and the the 15% cream quantity to be mixed is 5 litersStep-by-step explanation:The question isMilk and cream contain different percents of butterfat. How much 3% milk needs to be mixed with how much 15% cream go give 20 L of 6% cream?Letx -----> the 3% milk quantity to be mixedy -----> the 15% cream quantity to be mixedwe know that[tex]3\%=3/100=0.03[/tex][tex]15\%=15/100=0.15[/tex][tex]6\%=6/100=0.06[/tex][tex]x+y=20[/tex] [tex]x=20-y[/tex] -----> equation A[tex]0.03x+0.15y=0.06(20)[/tex]Multiply by 100 both sides[tex]3x+15y=120[/tex] -----> equation Bsubstitute equation A in equation B and solve for y[tex]3(20-y)+15y=120[/tex][tex]60-3y+15y=120[/tex][tex]12y=120-60[/tex][tex]y=60/12[/tex][tex]y=5\ l[/tex]Find the value of x (equation A)[tex]x=20-5=15\ l[/tex]thereforeThe 3% milk quantity to be mixed is 15 liters and the the 15% cream quantity to be mixed is 5 liters