The image contains several biology-related questions. Let's focus on question V and VI, which involve numerical calculations. V: A single strand of a gene has a total of 750 nucleotides. The difference between the number of adenine nucleotides and other nucleotides is 300. a. Find the number of each type of nucleotide. b. If this gene is a template to transcribe 4 mRNA molecules, what is the total number of free ribonucleotides required? VI: During the synthesis of a protein molecule, an mRNA molecule enters the ribosome 489 times. a. Calculate the number of nucleotides in the gene. b. Find the percentage of each type of nucleotide, given that there are 441 adenine nucleotides.

Applied MathematicsBiologyGeneticsNucleotidesPercentage CalculationAlgebraic Equations
2025/5/19

1. Problem Description

The image contains several biology-related questions. Let's focus on question V and VI, which involve numerical calculations.
V: A single strand of a gene has a total of 750 nucleotides. The difference between the number of adenine nucleotides and other nucleotides is
3
0

0. a. Find the number of each type of nucleotide.

b. If this gene is a template to transcribe 4 mRNA molecules, what is the total number of free ribonucleotides required?
VI: During the synthesis of a protein molecule, an mRNA molecule enters the ribosome 489 times.
a. Calculate the number of nucleotides in the gene.
b. Find the percentage of each type of nucleotide, given that there are 441 adenine nucleotides.

2. Solution Steps

V. a. Let AA be the number of adenine nucleotides, and OO be the number of other nucleotides. We have:
A+O=750A + O = 750
AO=300A - O = 300
Adding the two equations, we get:
2A=10502A = 1050
A=525A = 525
So, O=750525=225O = 750 - 525 = 225
The other nucleotides (G, C, T) total
2
2

5. Since this is a single strand of DNA, the numbers of G, C, and T are not necessarily equal. The question only asks for the number of each *type* of nucleotide, so we only need $A$ and other nucleotides.

V. b. For transcribing to mRNA, we use the other strand which is complementary to the DNA strand. The number of nucleotides from the complementary strand becomes the number of ribonucleotides in mRNA. Since the gene has 750 nucleotides on one strand, 750 ribonucleotides are needed to form one mRNA molecule. Four mRNA molecules will require: 4×750=30004 \times 750 = 3000 ribonucleotides.
VI. a. An mRNA molecule enters the ribosome 489 times to synthesize a protein. Each time the mRNA enters the ribosome, the *same* mRNA is used for protein synthesis. The question is actually about how many nucleotides are *in the gene*. The gene has two strands. The template strand has the same number of nucleotides as there are bases in a molecule of mRNA created using it, so we can assume it would require 489 triplets, for a total of 489×3=1467489 \times 3= 1467 nucleotides of mRNA. However, question VI. states that "ARN ដឹកនាំចូលក្នុងរីបូសូមចំនួន 489 ដង". So, there is no relation to the coding number of ARN. The mRNA gets created from the template (one of the two strands). Thus, The length of the template strand determines the mRNA length, which is the same as the coding strand. So the coding strand must have the same length. So the gene that produced the mRNA strand must have a *length*. So, the total number of nucleotides in the gene is 2×1467=29342 \times 1467=2934.
Each codon has 3 bases, which correspond to one amino acid. Since there are 489 amino acids, the mRNA must have 489×3=1467489 \times 3 = 1467 nucleotides. Since mRNA is transcribed from DNA, we only need to know length of the template strand (one side of the gene) which contains 1467 nucleotides. The double-stranded gene contains 2×1467=29342 \times 1467=2934 nucleotides
VI. b. There are 1467 nucleotides in the mRNA, and 441 of these are adenine. So the percentage of adenine is (441/1467)×10030.06%(441 / 1467) \times 100 \approx 30.06\%. In DNA, A=TA=T and G=CG=C. So the template strand has A,T,G,CA, T, G, C. Let's assume AA is
4
4

1. Now for the DNA, we have the coding strand, with a total of 1467 nucleotides. The other (template) strand will also have 1467 nucleotides. On the template strand, the numbers $A, T, G, C$ may be different, but that ratio is already in the mRNA molecules. The gene will have a double helix with complementary base pairing. So in the mRNA molecule of 1467 nucleotides, we have 441 adenines. So $A=441/1467$. Thus, the total number of A in the gene will be double that of mRNA $=2\times 441 =882$, and the percentage is then $882/(2 \times 1467) \times 100 = 882 / 2934 \times 100 \approx 30.06\%$.

3. Final Answer

V. a. Adenine: 525, Other nucleotides:
2
2

5. V. b. 3000

VI. a. 2934
VI. b. Approximately 30.06%

Related problems in "Applied Mathematics"

The problem asks us to fill in the blanks with either $g$ (grams) or $kg$ (kilograms) to make the st...

Units of MeasurementWeightConversion
2025/7/17

Warda walks at an average speed of 3 km/hr for 45 minutes before running for half an hour at a certa...

Word ProblemDistanceSpeedTimeRateLinear Equations
2025/7/16

Determine the vertical displacement at the point $I$ of the given structure, due to the effect of th...

Structural AnalysisDeflectionBeam TheoryVirtual WorkEngineering Mechanics
2025/7/16

The problem asks to determine the vertical displacement at point I (which I assume is at the top of ...

Structural MechanicsCastigliano's TheoremBeam BendingStrain EnergyDeflectionIntegration
2025/7/16

The problem asks to determine the vertical displacement at a point "I" (likely implied as the midpoi...

Structural MechanicsBeam DeflectionFlexural RigidityUniformly Distributed Load (UDL)ElasticityVirtual WorkCastigliano's Theorem
2025/7/16

The problem asks us to determine the vertical displacement at a point I (assumed to be a point withi...

Structural MechanicsFinite Element AnalysisVirtual WorkBending MomentDeflectionEngineering
2025/7/16

The problem describes a lottery win of $1,000,000 and presents several options for receiving the pri...

Financial MathematicsPresent ValueAnnuityPerpetuityDiscount Rate
2025/7/16

The problem consists of two parts: (a) An aircraft flies at different speeds and bearings for certai...

TrigonometryDifferentiationDistanceBearingAircraft Navigation
2025/7/15

The problem presents a line graph showing the distance of taxi driver Joe from his home over a 12-ho...

Graph InterpretationDistanceRate of ChangeReal-World Application
2025/7/15

The problem asks to solve a circuit using Kirchhoff's laws. The circuit consists of two voltage sour...

Circuit AnalysisKirchhoff's LawsThevenin's TheoremNorton's TheoremElectrical Engineering
2025/7/14