At a concert there are 3 times as many
women as men. 3/5 of the men and 1/3 of the women wear glasses. There are 120 more women wearing glasses than men wearing glasses .How many people are at the concert?
number of men --- x
number of men --- 3x
men wearing glasses = (3/5)x
number of women wearing glasses = (1/3)(3x) = x
x - (3/5)x = 120
times 5
5x - 3x = 600
2x = 600
x = 300
people at concert = x + 3x = 4x
= 1200
Where did you get the five
To solve this problem, we can break it down into steps:
Step 1: Let's assume the number of men at the concert is "x".
Step 2: Since there are 3 times as many women as men, we can calculate the number of women as 3x.
Step 3: According to the given information, 3/5 of the men wear glasses. So, the number of men wearing glasses is (3/5)x.
Step 4: Also, 1/3 of the women wear glasses. Therefore, the number of women wearing glasses is (1/3)(3x) = x.
Step 5: It is given that there are 120 more women wearing glasses than men wearing glasses. So, x + 120 = x.
Step 6: Solving this equation, we find out that 120 = 0, which is not possible.
Therefore, there is no solution to this problem.
Hence, we cannot determine the number of people at the concert based on the information given.