A jar of face cream contains 18% moisturizer, and another contains 24% moisturizer. How many ounces of each should be combined to get 12oz of a cream that is 22% moisturizer
Let the number of ounces of the 18% moisturizer = x so.......the number of 24% moisturizer = 12 - x
And
(The number of oz of 18% product)* its concentration + (The number of oz of 24% product)* its concentration =
(The total number of ozs of product) * its concentration......mathematically, we have
(x)(.18) + (12 - x) (.24) = (12)(.22) remove the decimals by multiplying each side by 100
18x + 24(12 -x) = 22 * 12
18x + 288 - 24x = 264
-6x + 288 = 264 subtract 288 from both sides
-6x = -24 divide both sides by -6
x = 4 oz this is the amount of 18% moisturizer that should be used
And 12 - x = 12 - 4 = 8 oz = the amount of 24% moisturizer that should be used