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