There are 1,800 students at a high school. Of the students who have smoked at least one cigarette in the last month, five-eighteenths are twelfth graders. Thirty-five percent of the remaining students are eleventh graders, and the rest are in the ninth and tenth grades. If there are 169 students in the ninth and tenth grades who have smoked at least one cigarette in the last month, how many students in all have smoked at least one cigarette in the last month?
260 students
360 students
50 delegates
35 delegates
These choices do not make sense because 5/18 of 1800 is 500 by itself ???
•Math - Need help please - Ms. Sue, Tuesday, December 18, 2012 at 7:41pm
5/18 of the total smokers are in 12th grade.
You need to find how many smokers there are.
•Math - Need help please - Chris - Ms Sue, Tuesday, December 18, 2012 at 8:29pm
That's not true.
See what it says
Of the students who have smoked at least one cigarette in the last month, five-eighteenths are twelfth graders.
That equals 500 more than all the choices given
To find the number of students who have smoked at least one cigarette in the last month, we need to find the total number of smokers among the students.
According to the given information, five-eighteenths (5/18) of the students who have smoked at least one cigarette in the last month are twelfth graders.
Let's find the number of twelfth graders who have smoked at least one cigarette in the last month:
Twelfth graders = (5/18) * Total number of smokers
Now, let's find the number of remaining students who are not twelfth graders and have smoked at least one cigarette in the last month:
Remaining students = Total number of smokers - Twelfth graders
According to the given information, thirty-five percent (35%) of these remaining students are eleventh graders. So, we can find the number of eleventh graders who have smoked at least one cigarette in the last month:
Eleventh graders = (35/100) * Remaining students
Finally, the total number of ninth and tenth graders who have smoked at least one cigarette in the last month is given as 169.
Adding up the number of twelfth graders, eleventh graders, and ninth/tenth graders will give us the total number of students who have smoked at least one cigarette in the last month.
Total number of students who have smoked at least one cigarette in the last month = Twelfth graders + Eleventh graders + Ninth/Tenth graders
Now, let's calculate the numbers:
Twelfth graders = (5/18) * Total smokers
Remaining students = Total smokers - Twelfth graders
Eleventh graders = (35/100) * Remaining students
Ninth/Tenth graders = 169 (given)
Total number of students who have smoked at least one cigarette in the last month = Twelfth graders + Eleventh graders + Ninth/Tenth graders
After calculating this, we can determine the correct answer from the given options.