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 ???
260 students
You are correct, the choices provided do not seem to align with the information given in the question. Let's break down the problem and find the correct solution.
We are given that there are 1,800 students in total at the high school. Out of these students, some have smoked at least one cigarette in the last month.
According to the information provided, five-eighteenths (5/18) of the students who have smoked are twelfth graders. To find the number of twelfth graders who have smoked, we need to calculate (5/18) * 1800.
(5/18) * 1800 = 500
So, we have 500 twelfth graders who have smoked.
Next, we are told that the remaining students who have smoked are distributed among eleventh graders, ninth, and tenth graders. We know that there are 169 students in the ninth and tenth grades who have smoked.
To find the combined number of eleventh graders and ninth/tenth graders who have smoked, we need to subtract 169 from the total number of students who have smoked.
Total students who have smoked = 500 - 169
Total students who have smoked = 331
Therefore, the correct answer is 331 students who have smoked at least one cigarette in the last month.
None of the provided choices (260 students, 360 students, 50 delegates, or 35 delegates) match with the calculated result. It seems there may be an issue with the given answer choices.