SOLUTION: A school has 1025 students. A totl of 400 students can not swim. This consists of 1/5 of the boys and 4/7 f the girls. If x boys can swim, write an equation for x and solve it. How

Algebra ->  Human-and-algebraic-language -> SOLUTION: A school has 1025 students. A totl of 400 students can not swim. This consists of 1/5 of the boys and 4/7 f the girls. If x boys can swim, write an equation for x and solve it. How      Log On


   



Question 1015783: A school has 1025 students. A totl of 400 students can not swim. This consists of 1/5 of the boys and 4/7 f the girls. If x boys can swim, write an equation for x and solve it. How many boys are the ere in the school?
Found 2 solutions by ikleyn, ankor@dixie-net.com:
Answer by ikleyn(52832) About Me  (Show Source):
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A school has 1025 students. A total of 400 students can not swim.
This consists of 1/5 of the boys and 4/7 of the girls.
If x boys can swim, write an equation for x and solve it.
How many boys are the there in the school?
:
I will be easier if we find out how many boys & girls are in the school
let b = no. of boys in the school
let g = no. of girls
:
b + g = 1025
the number of girls & boys who can't swim are given as 400
1%2F5b + 4%2F7g = 400
Get rid of the denominators, multiply by 35
7b + 20g = 14000
multiply the 1st equation by 7, subtract from the above equation
7b + 20g = 14000
7b + 7g = 7125
------------------subtraction eliminates b, find g
0 + 13g = 6825
g = 6825/13
g = 525 girls in the school
then
1025 - 525 = 500 boys in the school
"If x boys can swim, write an equation for x and solve it."
x = 500(5%2F5- 1%2F5)
x = 500(4%2F5)
x = 400 boys can swim