At the last school pep rally 4 out of every 6 students wore school colors. Based on this information, if 120 students wore school colors, how many total students attended the pep rally?
A.30
B.180
C.240
D>480
B
Melissa has to drive 420 miles to arrive at her destination. She drives at a rate of 60 miles per hour. Based on this information which of the following statements is a reasonable conclusion?
A.She will have driven less than 1/2 of the trip after 6 hours
B.She will have driven fewer than 110 miles after 2 hours
C.She will have driven more than 400 miles after 4 hours
D.She will have driven more than 1/3 of the trip after 3 hours
D
Right and right!
Thank you, Ms. Sue. :)
You're welcome, Jerald.
To find the total number of students who attended the pep rally, you can use a proportion based on the information given.
The proportion can be set up as:
4/6 = 120/x
To solve for x, you can cross-multiply and solve for x.
4x = 6 * 120
4x = 720
x = 720/4
x = 180
Therefore, the total number of students who attended the pep rally is 180. Option B is correct.
To determine the reasonable conclusion regarding the distance Melissa will have driven after a certain number of hours, you can multiply her driving rate (miles per hour) by the number of hours.
For example, after 6 hours, she would have driven:
60 miles/hour * 6 hours = 360 miles
Comparing this to the total distance of 420 miles, we can conclude that option A is not reasonable since 360 miles is more than half of 420 miles.
Similarly, after 2 hours, she would have driven:
60 miles/hour * 2 hours = 120 miles
Comparing this to the total distance of 420 miles, we can conclude that option B is reasonable since 120 miles is fewer than 420 miles.
After 4 hours, she would have driven:
60 miles/hour * 4 hours = 240 miles
Comparing this to the total distance of 420 miles, we can conclude that option C is not reasonable since 240 miles is less than 420 miles.
After 3 hours, she would have driven:
60 miles/hour * 3 hours = 180 miles
Comparing this to the total distance of 420 miles, we can conclude that option D is reasonable since 180 miles is more than one-third of 420 miles.
Therefore, option D is the reasonable conclusion.