Pearson Square Notes

Sample ProЫem Balancing Feed Rations: Pearson Squares What's Being Asked? • You have 2 different feeds оп hand, each containing а certain amount of protein. But for your purposes, neither wi/1 suffice. You need to ___ them !о make а new feed of а specific amount ______. And you need !о make 600 /bs of the new feed. • 2"', label the square: l;ecd # 1 goes here Witl1its%CP -- Fccd # 1 a!so goes here The¾CPyou \vant goes here Feed #2 goes hereL With its%CP - -- • Formulate 600 lbs of а 26% СР ration using CSM (54% СР) and Barley (8% СР). Solving ..... using а Pearson Square • These types of proЬ/ems are easy ....but you have to use the Pearson Square. -1 st set up the square (this will Ье the same еvегу time: This is what it should look like: сsм l�eed #2 a!so goes herc 26% ---�Barlcy 3,d, some simple suЬtraction ... one feed at а time. • SuЫractgoingdiagonal!y: #1. CSM (54)-26 = 28% Barley: сsм 54% CSM 4th, do the same calculation for the second feed. • Suьtracl оп the other diagonal: Barley (8%) - 26 = -18 % CSM. Bul just use the absolute va1ue... .ignore the negaHve sign: _ _ parts Barlcy Barlci· М% '----------· Bar1ey 8% 5th , add up total pans CSM and Barley for the new feed: CSM54% 1 ,. 26% Barley 8% : CSM 18% + Barley 28% tota1 ( 18 + 28) So from the square, we know that in our final feed we need: - 28 pans Barley -18 pans CSM We also know from the ргоЫеm that we need 600 lbs of the new feed. - This is the easy part! _ _ partsCSM сsм 54% / 26% Wait ....What's going on? We just calculated what percent of our пеw ration will Ье CSM and Barley: of the total amount of new feed, it will Ье 28 parts Barley and 18 pans CSM. Now we have to determine how many pounds of each this correlates to. Once we know that, we сап mix our feeds together. Just convert parts to %: Remember the formula for percentage: - Part/whole х 100 = %рап Barley: - 28 pans / 46 total pans х 100 =____% CSM: - 18 pans / 46 total pans х 100 = ____% ( Then convert % to lbs: - This is your answerl You need to mix 365.22 !bs barley and 234.78 lbs CSM to make your mix! Barley: we determined 365.22 lbs needed; and from the proЬlem we know that our barley is 8% СР-; - 365.22 х 0.08 = 29.22 lb СР CSM: we determined 234. 78 lbs needed; from the ргоЫеm we know CSM is 54% СР; - 234. 78 х 0.54 = 126.78 These two answers should add to give the percent СР we were looking for: - 29.22 + 126.78 = 156 - 156 lb СР / 600 to!al lb feed х 100 = 26% СР Ready for another one? Hints! Now we know what % of final feed will Ье barley and CSM, and from the ргоЫеm, we know we want 600 total lbs of feed. We just need to figure out how many lbs of each this means! - Barley: 600 lb х .6087 = 365.22 lbs! - CSM: 600 lb х .3913 = 234.78 lbs! • А zelephant is on а feed that requires а ration containing 55% TDN. The TDN of two feeds, alfalfa hay and corn, are 89% and 22%, respectively. Determine the amounts of each feed necessary (in units/300 lbs) to meet the TDN requirement of the zelephant. Answer ( Let's Check the Answer Remember the steps: - 1. Set up the square and !abel it: the labels stay the same going across! - 2. Suьtract going DIAGONALLУ - 3. Get total pal1s - 4. Find each feed % from the total pal1s - 5. Convel1 the % to lbs based on total amount feed we need - 6. Check уоuг answerJ Pшctice v,,ith Pearsoп Square Name: \(t� 1. 14% C1·ude Proteiп Ratioп, 100 lb total feed Сош has 10% Сшdе Pl'Oteiп; SоуЬеап Меа! has 45% Сшdе pl'Oteiн {\r{(>,_ • -1'\il) i°' ' 1\ ,, l~.J ' • �------� . . и ,, . о J--\ Q ' ! 'Ч?u 316 Total Paits: Perceпt Сош: 5 \ 't,:, Lb Сош: ______ Lb SM: ______