Math

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.)

  1. 👍
  2. 👎
  3. 👁
  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!

    1. 👍
    2. 👎
    👤
    Reiny
  2. Thank you!😃

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Social Studies

    What new opportunities were won by women with the passage of the 19th Amendment? A Women were elected governors by the votes of women.*** B Women gained equal pay in factories. C Women were able to achieve higher levels of

  2. English

    it takes one of the great advantages of being a woman that one can pass even a very fine Negress without wishing to man an English woman of her? Which of the following choices correctly explains the meaning behind this line? Women

  3. History

    1.) Which factor contributed most to the beginning of the women's rights movement in the United States during the mid-1800s? A. A dramatic increase in women's PARTICIPATION in the workforce B. A shift in social attitudes brought

  4. Probability

    In a large crowd, there are three times as many men as women. Three people are chosen at random. Assuming that there are so many people that choosing three has a negligible effect on the proportion of men to women , find the

  1. History

    read the expert and answer the question. Whoever does right, whether male or female, and is a believer, also to enter the garden. -Quran which statement provides a valid generalization that can be inferred from the expert? a. Men

  2. math

    a committee of 5 people is to be selected from a group of 6 men and 9 women. If the selection is made randomly, what is the probability that the committee consists of 3 men and 2 women?

  3. probability

    an employer wishes to hire three people from a group of 15 applicants. 8 men and 7 women, all qualified to fill the position. if he selects the three at random. what is the probability. a) all will be men? b) one will be a women?

  4. HISTORY

    Which answer best describes why women were active in early reform movements? A. Many Americans believed women had higher morals than men. B. Many Americans believed women could better bring about change than men. C. Women in the

  1. statistics

    Tall clubs international is a social organization for tall people. It has a height requirement that men must be at least 74 in. and women must be at least 70 in. tall. If men's heights have a normal mean of 69.0 in and a deviation

  2. Math

    A play has two roles for men and four roles for women if five men and 12 women tryout for these parts,in how many different ways can the director choose people for the roles

  3. US HISTORY

    Which of the following statements about participants in the Second Great Awakening is most correct? -The participation was almost entirely female; very few men got involved. - The participation was almost entirely male; very few

  4. Math

    There are 150 people at an international medical conference,40 are African, 70 are women and 110 are doctors. 12 of the women are African, 46 of the doctors are women and 31 of the Africans are doctors. If 5 of the African men are

You can view more similar questions or ask a new question.