Question

Of the people at a park, 60% are men and 75% of the women wear jeans. The number of men is 140 more than the number of women who do not wear jeans. After more women come to the park, 65% of the people at the park are women. How many more women come to the park?
Is the answer 70?
60/100= men
40/100= women
.75 times .40= 30/100
30/100 women wear jeans
10/100 women don't wear jeans.
Then it says the number of men is 140 more than the number of women not wearing jeans. So 50/100= 140.
1/100= 2.8
2.8 times 65= 182
2.8 times 40= 112
182-112= 70.
I also checked my answer by doing this:
2.8 times 60= 168 (number of men)
168-140= 28.
2.8 times 10= 28 (10% is the number of women who don't wear jeans.)

Answer 1

total number of men and women at the park ---- x
number of men = (3/5)x = 3x/5
so the total number of women = 2x/5
number of women who wear jeans = (3/4)(2x/5) = 3x/10
number of women who don't wear jeans = (1/4)(2x/5) = x/10

3x/5 - x/10 = 140
times 10
6x - x = 1400
x = 280 <--- number of people in the park
number of men = 168
number of women = 112

check this answer:
number of women wearing jeans = .75(112) = 84
so the number of women not wearing jeans = 28
men - women not wearing jeans = 168-28 = 140, Yeahh, my answers to the first
part are correct

So let the number of additional women coming to the park be y
112 + y = .65(280 + y)
112 + y = 182 + .65y
.35y = 70
y =200 < number of women joining later

check that:
we had 112 women, 200 more join, so 312 women
the total is now 280+200 = 480
what is 312/480?
= .65 or 65%

All is good!

Answer 2

Thank you!😃