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Trixie Bell is a yearling goat. She consumes 0.75 lb of grain and 4.25 lbs of hay daily.

14% of the grain is digestible protein, but only 2.5% of the hay is digestible protein.

How many grams of protein does Trixie Bell consume daily?

Answer :

[tex]\[ {96 \, \text{g}} \][/tex] of protein Trixie Bell consume daily.

Trixie Bell consumes a total of 0.75 lb of grain and 4.25 lbs of hay daily. To find out how much digestible protein she gets from her food, we need to calculate the amount of protein from both the grain and the hay and then sum them up.

First, let's calculate the digestible protein from the grain. The grain contains 14% digestible protein, so we calculate the protein from the grain as follows:

[tex]\[ \text{Protein from grain} = 0.75 \, \text{lb} \times \frac{14}{100} \][/tex]

[tex]\[ \text{Protein from grain} = 0.75 \times 0.14 \, \text{lb} \][/tex]

[tex]\[ \text{Protein from grain} = 0.75 \times 0.14 \, \text{lb} \][/tex]

Next, we calculate the digestible protein from the hay. The hay contains 2.5% digestible protein, so we calculate the protein from the hay as follows:

[tex]\[ \text{Protein from hay} = 4.25 \, \text{lb} \times \frac{2.5}{100} \][/tex][tex]\[ \text{Protein from hay} = 4.25 \, \text{lb} \times \frac{2.5}{100} \][/tex]

[tex]\[ \text{Protein from hay} = 4.25 \times 0.025 \, \text{lb} \][/tex]

Now, we add the protein from both sources to get the total digestible protein in pounds:

[tex]\[ \text{Total protein} = \text{Protein from grain} + \text{Protein from hay} \][/tex]

[tex]\[ \text{Total protein} = 0.105 \, \text{lb} + 0.10625 \, \text{lb} \][/tex]

[tex]\[ \text{Total protein} = 0.21125 \, \text{lb} \][/tex]

To convert pounds to grams, we use the conversion factor that 1 pound is approximately equal to 453.59237 grams:

[tex]\[ \text{Total protein in grams} = 0.21125 \, \text{lb} \times 453.59237 \, \text{g/lb} \][/tex]

[tex]\[ \text{Total protein in grams} \approx 0.21125 \times 453.6 \, \text{g} \][/tex]

[tex]\[ \text{Total protein in grams} \approx 0.21125 \times 453.6 \, \text{g} \][/tex]

Rounding to the nearest whole number, Trixie Bell consumes approximately 96 grams of protein daily.

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Rewritten by : Barada

Answer:

95.91 g

Explanation:

First we convert the given masses of grain and hay into grams:

  • 0.75 lb of grain * 454 g/lb = 340.5 g of grain
  • 4.25 lb of hay * 454 g/lb = 1929.5 g of hay

Now we calculate how many grams of protein Trixie consumes from grain:

  • 340.5 g of grain * 14/100 = 47.67 g protein

And do the same for hay:

  • 1929.5 g of hay * 2.5/100 = 48.24 g protein

Finally we add the protein grams:

  • 47.67 + 48.24 = 95.91 g