We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

24% of the people at a shopping mall are men. The number of boys is 3/8 of the number of men. The number of women is 4 times the number of boys. The number of girls is 504 more than the number of men. How many males are there in the shopping mall?(please answer in a specific primary 5 way as my nephew is primary5)

MaiaMitchell Aug 10, 2015

#1**+15 **

**24% of the people at a shopping mall are men. The number of boys is 3/8 of the number of men. The number of women is 4 times the number of boys. The number of girls is 504 more than the number of men. How many males are there in the shopping mall?**

x are the number of all people.

m = men, b = boys, w = women, g = girls

**$$\small{ \begin{array}{rcl} m&=& 0,24x\\\\ b&=& \dfrac{3}{8}m \\ w &=& 4\cdot b = 4\cdot \dfrac{3}{8}m = \dfrac{3}{2}m\\ g &=& 504 + m\\\\ x &=& m+b+w+g\\\\ x &=& m + \dfrac{3}{8}m+\dfrac{3}{2}m+504 + m\\\\ x &=& 2m+ \dfrac{3}{8}m+\dfrac{3}{2}m+504 \\\\ x &=& \dfrac{16+3+12}{8}m+504\\\\ x &=& \dfrac{31}{8}m+504\\\\ x &=& \dfrac{31}{8}\cdot 0.24x+504\\\\ x &=& 31\cdot 0.03x+504\\\\ x &=& 0.93x+504\\\\ x- 0.93x &=&504\\\\ 0.07x &=&504\\\\ x &=& \dfrac{504\cdot 100}{7}\\\\ x &=& 7200\\\\ m &=& 0.24x\\ m &=& 0.24\cdot 7200 \\ \mathbf{m} & \mathbf{=} & \mathbf{1728} \end{array} }$$**

There are **1728 males **in the shopping mall

Boys = 648

Woman = 2592

Girls = 2232

heureka Aug 10, 2015

#1**+15 **

Best Answer

**24% of the people at a shopping mall are men. The number of boys is 3/8 of the number of men. The number of women is 4 times the number of boys. The number of girls is 504 more than the number of men. How many males are there in the shopping mall?**

x are the number of all people.

m = men, b = boys, w = women, g = girls

**$$\small{ \begin{array}{rcl} m&=& 0,24x\\\\ b&=& \dfrac{3}{8}m \\ w &=& 4\cdot b = 4\cdot \dfrac{3}{8}m = \dfrac{3}{2}m\\ g &=& 504 + m\\\\ x &=& m+b+w+g\\\\ x &=& m + \dfrac{3}{8}m+\dfrac{3}{2}m+504 + m\\\\ x &=& 2m+ \dfrac{3}{8}m+\dfrac{3}{2}m+504 \\\\ x &=& \dfrac{16+3+12}{8}m+504\\\\ x &=& \dfrac{31}{8}m+504\\\\ x &=& \dfrac{31}{8}\cdot 0.24x+504\\\\ x &=& 31\cdot 0.03x+504\\\\ x &=& 0.93x+504\\\\ x- 0.93x &=&504\\\\ 0.07x &=&504\\\\ x &=& \dfrac{504\cdot 100}{7}\\\\ x &=& 7200\\\\ m &=& 0.24x\\ m &=& 0.24\cdot 7200 \\ \mathbf{m} & \mathbf{=} & \mathbf{1728} \end{array} }$$**

There are **1728 males **in the shopping mall

Boys = 648

Woman = 2592

Girls = 2232

heureka Aug 10, 2015

#2**+10 **

Let T be the total number of people......

The, the men = .24T .... The number of boys =(3/8)*.24T = .09T ..... The number of women = .36T and The number of girls = (1 - .24 - .09 - .36)T = .31T

And we know that

.24T + 504 = .31T subtract . 24T from both sides

.07T = 504 divide both sides by .07

T =504/.07 = 7200 = T = the total number of people

And the number of males = (.24 + .09)(7200) = .33(7200) = 2376

And the number of females is (.31 + .36)T = (.67)(7200) = 4824

CPhill Aug 11, 2015