Get personalized answers to your unique questions on IDNLearn.com. Our Q&A platform offers detailed and trustworthy answers to ensure you have the information you need.
Sagot :
Certainly, let's solve each part of the problem step-by-step.
### Part 1:
In a class, there were 45 students. If [tex]\(\frac{3}{5}\)[/tex] of them were boys, how many were girls?
1. Determine the number of boys:
Given that [tex]\(\frac{3}{5}\)[/tex] of the students were boys:
[tex]\[ \text{Number of boys} = \frac{3}{5} \times 45 \][/tex]
Calculate this:
[tex]\[ \text{Number of boys} = \frac{3}{5} \times 45 = 27 \][/tex]
2. Determine the number of girls:
The total number of students is 45. Therefore, the number of girls will be:
[tex]\[ \text{Number of girls} = 45 - \text{Number of boys} = 45 - 27 = 18 \][/tex]
Therefore, the number of girls in the class is 18.
### Part 2:
[tex]\(\frac{1}{3}\)[/tex] parts of the total students in a school are girls. If the number of girls is 150, find the total number of students.
1. Determine the total number of students:
Given that [tex]\(\frac{1}{3}\)[/tex] of the total students are girls and the number of girls is 150:
[tex]\[ \text{Total students} = 150 \div \frac{1}{3} \][/tex]
Simplify this:
[tex]\[ \text{Total students} = 150 \times 3 = 450 \][/tex]
Therefore, the total number of students in the school is 450.
### Part 3:
There are 450 boys in a school. If this number is [tex]\(\frac{3}{5}\)[/tex] of the total students, find the number of girls.
1. Determine the total number of students:
Given that 450 boys represent [tex]\(\frac{3}{5}\)[/tex] of the total number of students:
[tex]\[ \text{Total students} = 450 \div \frac{3}{5} \][/tex]
Simplify this by multiplying by the reciprocal of [tex]\(\frac{3}{5}\)[/tex]:
[tex]\[ \text{Total students} = 450 \times \frac{5}{3} = 450 \times \frac{5}{3} = 750 \][/tex]
2. Determine the number of girls:
The total number of students is 750. Therefore, the number of girls will be:
[tex]\[ \text{Number of girls} = 750 - 450 = 300 \][/tex]
Therefore, the number of girls in the school is 300.
### Part 1:
In a class, there were 45 students. If [tex]\(\frac{3}{5}\)[/tex] of them were boys, how many were girls?
1. Determine the number of boys:
Given that [tex]\(\frac{3}{5}\)[/tex] of the students were boys:
[tex]\[ \text{Number of boys} = \frac{3}{5} \times 45 \][/tex]
Calculate this:
[tex]\[ \text{Number of boys} = \frac{3}{5} \times 45 = 27 \][/tex]
2. Determine the number of girls:
The total number of students is 45. Therefore, the number of girls will be:
[tex]\[ \text{Number of girls} = 45 - \text{Number of boys} = 45 - 27 = 18 \][/tex]
Therefore, the number of girls in the class is 18.
### Part 2:
[tex]\(\frac{1}{3}\)[/tex] parts of the total students in a school are girls. If the number of girls is 150, find the total number of students.
1. Determine the total number of students:
Given that [tex]\(\frac{1}{3}\)[/tex] of the total students are girls and the number of girls is 150:
[tex]\[ \text{Total students} = 150 \div \frac{1}{3} \][/tex]
Simplify this:
[tex]\[ \text{Total students} = 150 \times 3 = 450 \][/tex]
Therefore, the total number of students in the school is 450.
### Part 3:
There are 450 boys in a school. If this number is [tex]\(\frac{3}{5}\)[/tex] of the total students, find the number of girls.
1. Determine the total number of students:
Given that 450 boys represent [tex]\(\frac{3}{5}\)[/tex] of the total number of students:
[tex]\[ \text{Total students} = 450 \div \frac{3}{5} \][/tex]
Simplify this by multiplying by the reciprocal of [tex]\(\frac{3}{5}\)[/tex]:
[tex]\[ \text{Total students} = 450 \times \frac{5}{3} = 450 \times \frac{5}{3} = 750 \][/tex]
2. Determine the number of girls:
The total number of students is 750. Therefore, the number of girls will be:
[tex]\[ \text{Number of girls} = 750 - 450 = 300 \][/tex]
Therefore, the number of girls in the school is 300.
We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.
