Of the 34 students in a class, there are 2 fewer students with blue eyes than there are students with hazel eyes. Also, there are twice as many students with brown eyes than there are students with blue eyes. Which of these is either the number of students with blue eyes, the number of students with brown eyes, or the number of students with hazel eyes
I'm stumped on the same exact question for my 8th grade math class. I've google-hunted for hours, and this exact question is on an 8th grade END OF THE YEAR test.
If your answer choices are:
A.) 8
B.)10
C.)12
D.)16
E.)20
F.)34
Then A, B, and D are right. But, I can't offer an explanation for them. I got the answers off the actual end of the year test. Hope this sort of helps :) make sure you ask a question.
this question stumped me FOREVER on my 8th grade placement test. thank u for the solutions.
Where are your answer choices?
Why doesn’t Earth simply fall into the sun?
This took me a while to figure out, but if you follow the system of equations you will get the answer.
You start with three systems of equations
1) 32=b+h+r (r standing for brown)
2) b=h-2
3) r=2b
In the first equation (32=b+h+r) find for h and get h=-3b+34
Then you substitute the h in the second equation for blue eyes
Once you find the value of b, use that in the equation for h (h=-3b+34) and get 10
Finally, you substitute the value of h in the equation for brown or r
To find the number of students with blue eyes, brown eyes, or hazel eyes, we can set up a system of equations based on the given information.
Let's assume the number of students with hazel eyes is x. According to the problem, there are 2 fewer students with blue eyes than students with hazel eyes. Therefore, the number of students with blue eyes is (x - 2).
Also, there are twice as many students with brown eyes as there are students with blue eyes. This means the number of students with brown eyes is 2 times the number of students with blue eyes, which can be expressed as 2(x - 2).
We know that there are a total of 34 students in the class. So, we can write the equation:
x + (x - 2) + 2(x - 2) = 34
Simplifying this equation gives us:
x + x - 2 + 2x - 4 = 34
4x - 6 = 34
4x = 40
x = 10
Therefore, the number of students with hazel eyes is x = 10.
To find the number of students with blue eyes, we substitute x in the equation: (x - 2)
Number of students with blue eyes = 10 - 2 = 8
To find the number of students with brown eyes, we substitute x in the equation: 2(x - 2)
Number of students with brown eyes = 2(10 - 2) = 2(8) = 16
So, the number of students with blue eyes is 8, the number of students with brown eyes is 16, and the number of students with hazel eyes is 10.