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Burka [1]
3 years ago
10

You spread 0.1 mL volume of a 10^(-5) dilution onto a nutrient agar plate. After 24 hours of incubation at 37°C, there were 223

colonies of bacteria on the plate. A.) What is the original concentration (OCD) of bacteria in the stock sample this dilution came from? (2 points) B.) Using the OCD value from part A, determine the number of colonies that would be expected to grow on a plate that is inoculated with 0.1 mL volume of 10^(-7) dilution from this same stock of bacteria. (2 points)
Biology
1 answer:
Sidana [21]3 years ago
8 0

Answer:

The correct answers are 2.23 * 10^8 CFU/ml and 2 colonies.

Explanation:

Based on the given information, 0.1 ml is the amount of bacterial culture plated, 10^-5 is the dilution factor and the number of bacterial colonies produced is 223.  

A) 223 is the number of colonies produced when 0.1 ml of the culture is plated. Therefore, the number of colonies produced when 1 milliliter of bacterial culture plated us (223/0.1)*1 = 2230

The calculation of the CFU/ml is done by using the formula,  

CFU/ml = Number of colonies per ml plated / dilution factor

Thus, 2230/10^-5

= 2230 * 10^5 or 2.23 * 10^8 CFU/ml

B) The number of colonies, which would grow on a plate, which is inoculated with 0.1 ml volume of 10^-7 dilution from the similar bacterial stock will be calculated as,  

CFU/ml = Number of colonies per ml plated/ dilution * volume plated.  

2.23 * 10^8 CFU/ml = Number of colonies per ml plated / 10^-7 * 0.1

Number of colonies per ml plated = 2.23 * 10^8 * 0.1 / 10^7 = 2.23 or 2 colonies.  

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Answer and Explanation:

Possibly, you forgot to attach the table with the contents of each food. Therefore, I calculated the task with similar values.

1. <em>Assume you have Food A, B, and C. Each has certain amount of Calcium, Iron, and Vit C. </em>

<em>             </em>Let's designate: Calcium <em>→ X oz , Iron → Y oz, vit C → Z oz</em>

2. <em>Assume you have following amount of</em><em> Calcium</em><em> in each food: </em>

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3. <em>Assume you have following amount of</em><em> Iron </em><em>in each food: </em>

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4. <em>Assume you have following amount of</em><em> vit C </em><em>in each food: </em>

  • Food A = 2 mg/oz
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<u>Calculations:</u>

→ You have 3 different food and each has Calcium in it. You need exactly 320mg of Calcium per day. Therefore, each food would comprise certain proportion of daily Calcium intake. We can come up with equation: 30X+25Y+20Z = 390 mg

  • Similarly, for iron and vitamin C, the next equations could be used:

        X+Y+2Z=17 - Iron

        2X+5Y+4Z=42 - Vit C

→ Now you have a system of equations:

30X+25Y+20Z = 390 <em>(1) </em>

X+Y+2Z=17 <em>(2)</em>

2X+5Y+4Z=42 <em>(3)</em>

→ Look for similarities! <em>(1) and (3) </em>seem to be similar. We can multiply the <em>(3) </em>by -5 to obtain: -10X-25Y-20Z=-210. We add the <em>(1)</em> and modified <em>(3)</em> equations.

30X+25Y+20Z = 390

-10X-25Y-20Z=-210

__________________

20X+0+0=180

20X=180

<em><u>→ X=9 (oz of Calcium)</u></em>

<em><u></u></em>

→ Now, we can put<em> x=9 </em>into equations above to ease our job:

270+25Y+20Z=390 → 25Y+20Z=390-270=120

9+Y+Z=17 → Y+2Z=17-9=8

18+5Y+4Z=42 → 5Y+4Z=42-18=24

→ Similarly, we can use Eq-s <em>(2) and (3). </em>We can multiply the <em>(2) </em>by -5 to obtain: -5Y-10Z=-40. We add the <em>(3)</em> and modified <em>(2)</em> equations.

-5Y-10Z=-40

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-6Z=-24

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<em><u>→ Z=4 (oz of vit C)</u></em>

<em><u></u></em>

→ Now, we can take X+Y+Z=17 <em>(2) </em>and just put in known values(<em>X=9 and Z=4</em>) to obtain Y:

9+Y+4=17

<u>→ Y=17-9-4=4 (oz of Iron)</u>

<u></u>

That's all! So, if you have table values, you can just re-write the equations and doing it stepwise, as it is shown here, you can manage to calculate every value you need :)

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