Can someone give me the steps for this problem?
In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
I'm not really good at this.. So any help will be thankful.
Ohh.. God... more people cheating!
I'm not cheating.. I'm asking for help
Not hard. Just read through what they have told you.
Suppose there are x students in all. Adding up all the fractions given, you have
x/2 + x/20 + x/10 + 70 = x
Now, 1/2 + 1/20 + 1/10 = 13/20
So, that means
13/20 x + 70 = x
70 = 7/20 x
x = 200
So, knowing that there are 200 students, you can now figure how many are 10 years old, right?
Thank you for helping me!
Sure! Let's break down the problem step by step to find the number of students who are 10 years old.
Step 1: Find the total number of students in the school.
In the problem, it is mentioned that there are 70 students who are 12 years or older. This means that the remaining students, who are not 12 years or older, fall into the age groups 10 and younger. So, we need to find the total number of students.
Total number of students = Number of students who are 12 years or older + Number of students who are not 12 years or older.
Step 2: Calculate the number of students who are younger than 10.
The problem states that 50% of the students in the school are younger than 10 years old. To find this number, we need to calculate 50% of the total number of students.
Number of students younger than 10 = (Total number of students) x 50/100.
Step 3: Calculate the number of students who are older than 10 but younger than 12.
The problem states that 1/10 of the students in the school belong to this age group. To find this number, we need to calculate 1/10 of the total number of students.
Number of students older than 10 but younger than 12 = (Total number of students) x 1/10.
Step 4: Calculate the number of students who are 10 years old.
The problem states that 1/20 of the students in the school are 10 years old. To find this number, we need to calculate 1/20 of the total number of students.
Number of students who are 10 years old = (Total number of students) x 1/20.
Step 5: Use the information to find the total number of students.
Based on the given information, we know that the sum of the number of students younger than 10, the number of students older than 10 but younger than 12, and the number of students who are 12 years or older equals the total number of students.
Number of students = Number of students younger than 10 + Number of students older than 10 but younger than 12 + Number of students who are 12 years or older.
Step 6: Substitute the values to find the number of students who are 10 years old.
Now that we have the equations for each age group, substitute them into the equation from step 5 and solve for the total number of students.
Equation: Total number of students = Number of students younger than 10 + Number of students older than 10 but younger than 12 + Number of students who are 12 years or older.
Number of students = (Total number of students) x 50/100 + (Total number of students) x 1/10 + 70.
We can now substitute the values obtained from steps 1, 2, and 3 into this equation. Solving this equation will give us the total number of students.
Once we have the total number of students, we can substitute it into the equation from step 4 to find the number of students who are 10 years old.
I hope this step-by-step explanation helps you solve the problem!