Out of 42 kids in a class twice as many failed Ela as math,4 failed both. If 7 failed neither,
find how many failed each subject.
I made a venn diagram the middle part of the venn diagram would be 7 and the math part would be 13 and the ela part would be 26. How do i check this?
Math failed:
1,2,3,4,5,6,7,8,9,10,11,12,13
Ela failed:
10,11,12,13,14,...,33,34,35
Neither: 36,37,38,39,40,41,42
To check if your Venn diagram is correct, we can use the information given in the problem to calculate the number of students who failed each subject.
Let's break it down step by step:
1. From the given information, we know that there are 42 students in total, and 7 students failed neither subject.
2. We also know that twice as many students failed ELA compared to Math. This means that if the number of students who failed Math is 'x', then the number of students who failed ELA is '2x'.
3. Additionally, 4 students failed both subjects, so we need to subtract this number from each category since they have already been counted.
Now, let's calculate the number of students who failed each subject:
- Number of students who failed Math = x - 4
- Number of students who failed ELA = 2x - 4
To check your Venn diagram, substitute the values you assumed into these equations:
- Number of students who failed Math = 13 - 4 = 9
- Number of students who failed ELA = 26 - 4 = 22
So, according to your Venn diagram, you assumed that 9 students failed Math, and 22 students failed ELA. To verify this, you can add up these numbers:
- 9 (students who failed Math) + 22 (students who failed ELA) + 4 (students who failed both) + 7 (students who failed neither) = 42 (total number of students)
If the total adds up to the given number of students in the class (42), then your Venn diagram is correct.