Chicago High School for Agricultural Sciences
Animal Digestion Name
Pearson Square
Pearson’s Square Problems
Directions: Using Pearson’s Square, determine how many pounds of each feed are needed to formulate the feed ration. Show ALL work! Round units following decimals to the nearest tenth.
1. Formulate 500 lbs of a 21% CP ration using Soybean Meal (44% CP) and Corn (9% CP).
How many pounds of soybean meal will be used?
How many pounds of corn will be used?
Double check your answer:
2. Formulate 450 lbs of a 28% CP ration using Cottonseed Meal (49% CP) and Millet (3% CP).
How many pounds of cottonseed meal will be used?
How many pounds of millet will be used?
Double check your answer:
3. Formulate 600 lbs of a 13% CP ration using Alfalfa Hay (18% CP) and Clover (4% CP).
How many pounds of alfalfa will be used?
How many pounds of clover will be used?
Double check your answer:
4. Formulate 900 lbs of a 35% CP ration using Soybean Meal (46% CP) and Oats (12% CP).
How many pounds of soybean meal will be used?
How many pounds of oats will be used?
Double check your answer:
5. Formulate 250 lbs of a 19% CP ration using Cottonseed Meal (47% CP) and Molasses (5%
CP).
How many pounds of cottonseed meal will be used?
How many pounds of molasses will be used?
Double check your answer:
6. Formulate 775 lbs of a 16% CP ration using Alfalfa Hay (22% CP) and Bermuda-grass (3% CP).
How many pounds of alfalfa will be used?
How many pounds of Bermuda-grass will be used?
Double check your answer:
7. Formulate 1260 lbs of a 25% CP ration using Cottonseed Meal (41% CP) and Wheat straw (2% CP).
How many pounds of cottonseed meal will be used?
How many pounds of wheat straw will be used?
Double check your answer:
8. Formulate 120 lbs of a 12% CP ration using Alfalfa Hay (16% CP) and Millet (3% CP).
How many pounds of alfalfa will be used?
How many pounds of millet will be used?
Double check your answer:
9. Formulate 585 lbs of a 13% CP ration using Soybean Meal (47% CP) and Sorghum fodder
(7% CP).
How many pounds of soybean meal will be used?
How many pounds of sorghum fodder will be used?
Double check your answer:
Animal Digestion Name
Pearson Square
Pearson’s Square Problems
Directions: Using Pearson’s Square, determine how many pounds of each feed are needed to formulate the feed ration. Show ALL work! Round units following decimals to the nearest tenth.
1. Formulate 500 lbs of a 21% CP ration using Soybean Meal (44% CP) and Corn (9% CP).
How many pounds of soybean meal will be used?
How many pounds of corn will be used?
Double check your answer:
2. Formulate 450 lbs of a 28% CP ration using Cottonseed Meal (49% CP) and Millet (3% CP).
How many pounds of cottonseed meal will be used?
How many pounds of millet will be used?
Double check your answer:
3. Formulate 600 lbs of a 13% CP ration using Alfalfa Hay (18% CP) and Clover (4% CP).
How many pounds of alfalfa will be used?
How many pounds of clover will be used?
Double check your answer:
4. Formulate 900 lbs of a 35% CP ration using Soybean Meal (46% CP) and Oats (12% CP).
How many pounds of soybean meal will be used?
How many pounds of oats will be used?
Double check your answer:
5. Formulate 250 lbs of a 19% CP ration using Cottonseed Meal (47% CP) and Molasses (5%
CP).
How many pounds of cottonseed meal will be used?
How many pounds of molasses will be used?
Double check your answer:
6. Formulate 775 lbs of a 16% CP ration using Alfalfa Hay (22% CP) and Bermuda-grass (3% CP).
How many pounds of alfalfa will be used?
How many pounds of Bermuda-grass will be used?
Double check your answer:
7. Formulate 1260 lbs of a 25% CP ration using Cottonseed Meal (41% CP) and Wheat straw (2% CP).
How many pounds of cottonseed meal will be used?
How many pounds of wheat straw will be used?
Double check your answer:
8. Formulate 120 lbs of a 12% CP ration using Alfalfa Hay (16% CP) and Millet (3% CP).
How many pounds of alfalfa will be used?
How many pounds of millet will be used?
Double check your answer:
9. Formulate 585 lbs of a 13% CP ration using Soybean Meal (47% CP) and Sorghum fodder
(7% CP).
How many pounds of soybean meal will be used?
How many pounds of sorghum fodder will be used?
Double check your answer:
Animal Digestion Name
Pearson Square
Pearson’s Square Problems
Directions: Using Pearson’s Square, determine how many pounds of each feed are needed to formulate the feed ration. Show ALL work! Round units following decimals to the nearest tenth.
1. Formulate 500 lbs of a 21% CP ration using Soybean Meal (44% CP) and Corn (9% CP).
Soybean Meal 44% 12 parts
Soybean Meal
Corn 9% 23 parts Corn
35 Total Parts
How many pounds of soybean meal will be used?
12 parts Soybean Meal / 35 Total Parts = .34 parts from soybean meal
.34 parts from soybean meal x 500 lb ration = 170 lbs soybean meal needed
How many pounds of corn will be used?
23 parts Corn / 35 Total Parts = .66 parts from corn
.66 parts from corn x 500 lb ration = 330 lbs corn needed
Double check your answer:
170 lbs of soybean meal + 330 lbs of corn = 500 lb ration
2. Formulate 450 lbs of a 28% CP ration using Cottonseed Meal (49% CP) and Millet (3% CP).
Cottonseed Meal 49% 25 parts Cottonseed Meal
Millet 3% 21 parts Millet
46 Total Parts
How many pounds of cottonseed meal will be used?
25 parts cottonseed meal / 46 total parts = .54 parts cottonseed meal
.54 parts cottonseed meal x 450 lb ration = 243 lbs cottonseed meal needed
How many pounds of millet will be used?
21 parts millet / 46 total parts = .46 parts millet
.46 parts millet x 450 lb ration = 207 lbs millet needed
Double check your answer:
243 lbs cottonseed meal + 207 lbs millet needed = 450 lb ration
3. Formulate 600 lbs of a 13% CP ration using Alfalfa Hay (18% CP) and Clover (4% CP).
Alfalfa Hay 18% 9 parts Alfalfa Hay
Clover 4% 5 parts Clover
14 Total Parts
How many pounds of alfalfa will be used?
9 parts alfalfa hay / 14 total parts = .64 parts alfalfa hay
.64 parts alfalfa hay x 600 lb ration = 384 lbs alfalfa hay needed
How many pounds of clover will be used?
5 parts clover / 14 total parts = .36 parts clover
.36 parts clover x 600 lb ration = 216 lbs clover
Double check your answer:
384 lbs alfalfa hay + 216 lbs clover = 600 lbs ration
4. Formulate 900 lbs of a 35% CP ration using Soybean Meal (46% CP) and Oats (12% CP).
Soybean Meal 46% 23 parts Soybean Meal
Oats 12% 11 parts Oats
34 Total Parts
How many pounds of soybean meal will be used?
23 parts soybean meal / 34 total parts = .68 parts soybean meal
.68 parts soybean meal x 900 lb ration = 612 lbs soybean meal needed
How many pounds of oats will be used?
11 parts oats / 34 total parts = .32 parts oats
.32 parts oats x 900 lb ration = 288 lbs oats needed
Double check your answer:
612 lbs soybean meal + 288 lbs oats = 900 lb ration
5. Formulate 250 lbs of a 19% CP ration using Cottonseed Meal (47% CP) and Molasses (5%
CP).
Cottonseed Meal 47% 14 parts Cottonseed Meal
Molasses 5% 28 parts Molasses
42 Total Parts
How many pounds of cottonseed meal will be used?
14 parts cottonseed meal / 42 total parts = .33 parts cottonseed meal
.33 parts cottonseed meal x 250 lb ration = 82.5 lbs cottonseed meal needed
How many pounds of molasses will be used?
28 parts molasses / 42 total parts = .67 parts molasses
.67 parts molasses x 250 lb ration = 167.5 lbs molasses needed
Double check your answer:
82.5 lbs cottonseed meal + 167.5 lbs molasses = 250 lb ration
6. Formulate 775 lbs of 16% CP ration using Alfalfa (22% CP) and Bermuda grass (3% CP).
Alfalfa Hay 22% 13 parts Alfalfa Hay
Bermuda Grass 3% 6 parts Bermuda Grass
19 Total Parts
How many pounds of alfalfa will be used?
13 parts alfalfa hay / 19 total parts = .68 parts alfalfa
.68 parts alfalfa x 775 lb ration = 527 lbs alfalfa needed
How many pounds of Bermuda-grass will be used?
6 parts Bermuda Grass / 19 total parts = .32 parts Bermuda Grass
.32 parts Bermuda Grass x 775 lb ration = 248 lbs Bermuda Grass needed
Double check your answer:
527 lbs alfalfa + 248 lbs Bermuda Grass = 775 lb ration
7. Formulate 1260 lbs of a 25% CP ration using Cottonseed Meal (41% CP) and Wheat straw (2% CP).
Cottonseed Meal 41% 23 parts Cottonseed Meal
Wheat Straw 2% 16 parts Wheat Straw
39 Total Parts
How many pounds of cottonseed meal will be used?
23 parts cottonseed meal / 39 total parts = .59 parts cottonseed meal
.59 parts cottonseed meal x 1260 lb ration = 743.4 lbs cottonseed meal needed
How many pounds of wheat straw will be used?
16 parts wheat straw / 39 total parts = .41 parts wheat straw
.41 parts wheat straw x 1260 lb ration = 516.6 lbs wheat straw needed
Double check your answer:
743.4 lbs cottonseed meal + 516.6 lbs wheat straw = 1260 lb ration
8. Formulate 120 lbs of a 12% CP ration using Alfalfa Hay (16% CP) and Millet (3% CP).
Alfalfa Hay 16% 9 parts Alfalfa Hay
Millet 3% 4 parts Millet
13 Total Parts
How many pounds of alfalfa will be used?
9 parts alfalfa hay / 13 total parts = .69 parts alfalfa hay
.69 parts alfalfa hay x 120 lb ration = 82.8 lbs alfalfa hay needed
How many pounds of millet will be used?
4 parts millet / 13 total parts = .31 parts millet
.31 parts millet x 120 lb ration = 37.2 lbs millet needed
Double check your answer:
82.8 lbs alfalfa hay + 37.2 lbs millet = 120 lb ration
9. Formulate 585 lbs of a 13% CP ration using Soybean Meal (47% CP) and Sorghum fodder
(7% CP).
Soybean Meal 47% 6 parts Soybean Meal
Sorghum Fodder 7% 34 parts Sorghum Fodder
40 Total Parts
How many pounds of soybean meal will be used?
6 parts soybean meal / 40 total parts = .15 parts soybean meal
.15 parts soybean meal x 585 lb ration = 87.75 lbs soybean meal needed
How many pounds of sorghum fodder will be used?
34 parts sorghum fodder / 40 total parts = .85 parts sorghum fodder
.85 parts sorghum fodder x 585 lb ration = 497.25 lbs sorghum fodder needed
Double check your answer:
87.75 lbs soybean meal + 497.25 lbs sorghum fodder = 585 lb ration
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21%
28%
13%
35%
19%
16%
25%
12%
13%
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