Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 3.2, Problem 58SR
To determine

Find the amount of whipping cream and 2 % milk should be mixed to obtain 35 gallons of milk with 4% butterfat.

Expert Solution & Answer
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Answer to Problem 58SR

10 Gallons of whipping cream and 25 Gallons (amount of 2 % milk in the mixture.

Explanation of Solution

Given:

If 2% milk contains 2% butterfat and whipping cream contains 9% butterfat, how much whipping cream and 2 % milk should be mixed to obtain 35 gallons of milk with 4% butterfat?

Concept Used:

Condition given: 2% milk contains 2% butterfat and whipping cream contains 9% butterfat.

We need to find the amount of whipping cream and 2 % milk should be mixed to obtain 35 gallons of milk with 4% butterfat.

Calculation:

Let the amount of 2% milk be ‘’ x’’ gal.

The amount of fat 2% butterfat is 0.02x gal.

Amount of whip cream is (35−x) gal.

Whipping cream contains 9% butterfat.

Amount of butter fat is 0.09  ( 35− x )= 3.15 – 0.09x

Amount of all mixed is 35 gal with 4% butter fat.

Amount of butter fat is 0.04   ·   35 =1.4 gal

Equation: Fat + fat = fat

  0.02x +3.15 −0.09x=1.40.02x−0.09x+3.15=1.4−  0.07x+3.15=1.4− 0.07x  +  3.15  −  3.15  =  1.4  −  3.15 − 0.07x  =  −  1.75−  0.07x−  0.07  =  −  1.75−  0.07x=25  

  x=25 Gallons (amount of 2 % milk in the mixture)

  35−25=10 Gallons (amount of whipping cream in the mix)

Thus, 10 Gallons of whipping cream and 25 Gallons (amount of 2 % milk in the mixture.

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Chapter 3 Solutions

Algebra 1

Ch. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 58PPSCh. 3.1 - Prob. 60HPCh. 3.1 - Prob. 68STPCh. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 2CYPCh. 3.1 - Prob. 3CYPCh. 3.1 - Prob. 4ACYPCh. 3.1 - Prob. 4BCYP
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