SOLUTION: A school has 585 pupils the number of girls is 29 more than the number of boys how many boys are there.thank you ma and sir

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A school has 585 pupils the number of girls is 29 more than the number of boys how many boys are there.thank you ma and sir       Log On


   



Question 1040776: A school has 585 pupils the number of girls is 29 more than the number of boys how many boys are there.thank you ma and sir

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52808) About Me  (Show Source):
You can put this solution on YOUR website!
.
A school has 585 pupils the number of girls is 29 more than the number of boys how many boys are there.thank you ma and sir
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~`

1-st solution

From the condition, you have these two equations

g + b = 585,   (1)   (g = # of girls, b = # of boys)
g - b =  29.   (2)

Add these equations (both the left and the right sides). You will get

2g = 585 + 29 = 614.

Hence, g = 614%2F2 = 312.  The number of girls is 312.
Can you find yourself the number of boys?


2-nd solution

Let g = the number of girls. 
Then the number of boys is g - 29, and the sum, which is the number of pupils, is g + (g-29).

So, you have an equation

g + (g-29) = 585.

Simplify and solve it for g:

2g - 29 = 585,

2g = 585 + 29 = 614,

g = 614%2F2 = 312.

There are 312 girls.

And how many boys?


Answer by MathTherapy(10553) About Me  (Show Source):
You can put this solution on YOUR website!
A school has 585 pupils the number of girls is 29 more than the number of boys how many boys are there.thank you ma and sir
Number of boys: highlight_green%28278%29