Of the 6 grade students surveyed, 12% bring their lunch. SUppose 24 six graders do this, how many six graders are there.
I would like you to show me how to do this, (Mom) so that I can explain to my son. Thanks.
To solve this problem, you can set up a proportion using the given information. Let's call the number of 6th graders surveyed as "x."
We know that 12% of the surveyed students bring their lunch, which is equivalent to 24 students. So we can write the proportion as:
(12/100) = 24/x
To solve for "x," we can cross-multiply and then solve for "x":
12x = 100 * 24
12x = 2400
Divide both sides of the equation by 12:
x = 2400/12
x = 200
Therefore, there are 200 sixth graders in total.
To calculate the total number of sixth graders, we need to find the percentage of students who bring their lunch and then apply it to the given number.
Step 1: Convert the percentage into a decimal.
12% is written as 12/100 = 0.12 (since percentages are out of 100).
Step 2: Calculate the number of students who bring their lunch.
Since 24 students bring their lunch, 0.12 represents these students. Now, we can set up the following equation:
0.12 * X = 24
Here, X represents the total number of sixth graders.
Step 3: Solve the equation for X.
To find X, divide both sides of the equation by 0.12:
X = 24 / 0.12
Dividing 24 by 0.12 gives us:
X = 200
Therefore, there are 200 sixth graders in total.
To explain this to your son, you can say that if 12% of the students bring their lunch and that equals 24 students, we can estimate that the remaining 88% of students (100% - 12%) would also be a similar number. Thus, we can calculate the total number of sixth graders by dividing 24 by 0.12 to find that there are 200 students in total.
Here is an easy way to understand these kind of percent problems
12% = 24
so 1% = 24/12 = 2 (I divided by 12)
then 100% = 2*100 = 200
check: 12% of 200 = .12(200) = 24