Math in the Workplace: Overview

Math in the Workplace - Algebra

Problem:

How much ice cream mix and vanilla flavor will it take to make 1000 gallons of vanilla ice cream at 90% overrun with the vanilla flavor usage rate at 1 oz. per 10 gallon mix?

(90% overrun means that enough air is put into the frozen mix to increase its volume by 90%).

Note: 1 gallon = 128 fluid oz.

Solution:

Total volume required	=		1000 gal (1 + 0.9)	= 526.3 gal
Now let x	=		volume of ice cream mix
y	=		volume of vanilla flavor
So  x + y = 526.3 but y = (0.00078)(x) - which is negligible So  x = 526.3 But since we need 1 oz. of flavoring for 10 gal of mix
We get	y oz 526.3 gal	=	1 oz 10 gal

Y = 52.6 oz of flavor

Math in the Workplace: Overview