SOLUTION: A group of 165 men and women visit a cinema.
There are 20% more men than women.
How many men are there in the group?
The answer is 90 but I don't understand how you work it ou
Algebra.Com
Question 1020248: A group of 165 men and women visit a cinema.
There are 20% more men than women.
How many men are there in the group?
The answer is 90 but I don't understand how you work it out, and if there is a formula for these types of questions?
Found 2 solutions by Fombitz, Theo:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Name your variables.
"group of 165 men and women"
.
.
"20% more men than women"
Substitute into your first equation and solve for W.
Solve for .
Then use either equation to solve for .
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
m = number of men
w = number of women.
m + w = 165
you are told that there are 20% more men than women.
this means that m = w + 20% of women, which means that m = w + .2 * w, which means that m = 1.2 * w.
m + w = 165 becomes 1.2 * w + w = 165, after you replace m with its equivalent value of 1.2 * w.
1.2 * w + w = 165 become 2.2 * w = 165.
divide both sides of this equation by 2.2 to get w = 165 / 2.2
solve for w to get w = 75.
since m = 1.2 * w, then m = 1.2 * 75 = 90
there are 90 men and 75 women.
your solution is there are 90 men in the group.
RELATED QUESTIONS
In a group of men, women, boys, and girls, there were 10 more men than boys and 5 more... (answered by Edwin McCravy)
A total of 50 men and women are in a bus. there are 14 more men than women. How many... (answered by advanced_Learner,ikleyn)
From a group of 6 men and 8 women, 5 people are chosen at random. Find the probability... (answered by ewatrrr)
From a group of 6 men and 8 women, 5 people are chosen at random. Find the probability... (answered by ewatrrr)
The number of men in a tour group is 15 times the number of women. If there are 48 people (answered by tommyt3rd)
Four men and eight women are to line up for a picture with the four men in the middle.... (answered by Theo)
Eight men and six women are to line up for a picture with the eight men in the middle.... (answered by Edwin McCravy)
Three men and four women are to line up for a picture with the three men in the middle.... (answered by Edwin McCravy)
a committee of four is selected from a group of 20 people.
if there are 10 women and 12... (answered by Edwin McCravy)