word problem

Question

"How many gallons of vream containing 25% butter fat and milk containing 3 1/2 butter fat must be mixed to obtain 50 gallons of cream containing 12 1/2 butter fat?"

Answer 1

If we use g gallons of 25%,

we add 50-g gallons of 3.5%

to total to 50 gallons of 12.5%

 

25g + 3.5(50-g) = 12.5(50)

25g + 175 - 3.5g = 625

21.5g = 450

g = 450/21.5

g = 20.93 gallons of 25% cream

 

50-g = 29.07 gallons of 3.5% milk