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In E. coli DNA has 18% of bases of cytos...

In E. coli DNA has 18% of bases of cytosine. What will be the fraction of adenine?

A

0.18

B

0.32

C

0.36

D

Data insufficient

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The correct Answer is:
To solve the problem of finding the fraction of adenine in E. coli DNA, given that it has 18% cytosine, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Percentage of Cytosine (C)**: - The problem states that the percentage of cytosine (C) is 18%. 2. **Determine the Percentage of Guanine (G)**: - According to Chargaff's rules, the amount of cytosine is equal to the amount of guanine in DNA. Therefore, if C = 18%, then G = 18% as well. 3. **Calculate the Combined Percentage of Cytosine and Guanine**: - Now, add the percentages of cytosine and guanine together: \[ C + G = 18\% + 18\% = 36\% \] 4. **Determine the Total Percentage of Adenine (A) and Thymine (T)**: - The total percentage of all four bases (A, T, G, C) in DNA must equal 100%. Thus, we can find the combined percentage of adenine and thymine: \[ A + T = 100\% - (C + G) = 100\% - 36\% = 64\% \] 5. **Apply Chargaff's Rules to Find Adenine and Thymine**: - According to Chargaff's rules, the amount of adenine is equal to the amount of thymine. Therefore, we can express this as: \[ A = T \] - Let A = T = x. Then: \[ A + T = 2x = 64\% \] 6. **Solve for the Percentage of Adenine (A)**: - To find the value of x (which represents both A and T), we can rearrange the equation: \[ 2x = 64\% \] \[ x = \frac{64\%}{2} = 32\% \] - Therefore, the percentage of adenine (A) is 32%. 7. **Convert the Percentage of Adenine to Fraction**: - To express the percentage as a fraction, we convert 32% to a decimal: \[ A = 32\% = 0.32 \] ### Final Answer: The fraction of adenine (A) in E. coli DNA is **0.32**.

To solve the problem of finding the fraction of adenine in E. coli DNA, given that it has 18% cytosine, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Percentage of Cytosine (C)**: - The problem states that the percentage of cytosine (C) is 18%. 2. **Determine the Percentage of Guanine (G)**: ...
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