There were 2400 people at a concert.40%
of them were men, the rest were women and children.The number of women was 1 2/5 times the number of children.How many more more men than women were there?
For every 100 people, there were
40 men
30 women
30 children.
Use proportion to figure out the number for 2400 people.
my response is I didn't understand anything thank you
To find out how many more men than women were at the concert, we need to determine the number of men and women first.
Let's break down the information given step by step:
1. Total number of people at the concert = 2400
2. 40% of the total were men:
Number of men = 40% of 2400 = (40/100) * 2400 = 960
Now, to determine the number of women and children, we need to use the information that women were 1 2/5 times the number of children.
Let's find the number of children first:
Assume the number of children as x.
So, the number of women = 1 2/5 * x
To calculate the value of x, we can set up an equation using this information:
Number of women + Number of children = Total number of people - Number of men
(1 2/5 * x) + x = 2400 - 960
To simplify the equation, let's convert the mixed number 1 2/5 to an improper fraction:
(7/5 * x) + x = 1440
Multiplying through by 5 to eliminate the fraction:
7x + 5x = 1440 * 5
12x = 7200
Dividing both sides by 12:
x = 600
So, the number of children (x) is 600.
Now, we can determine the number of women:
Number of women = 1 2/5 * 600 = (7/5) * 600 = 840
To find out how many more men than women were there, subtract the number of women from the number of men:
Number of men - Number of women = 960 - 840 = 120
Therefore, there were 120 more men than women at the concert.