SOLUTION: I need help with a word problem please. There are 980 students who attend high school. At a recent volleyball game at the school, 35% of the male students and 40% of the female

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: I need help with a word problem please. There are 980 students who attend high school. At a recent volleyball game at the school, 35% of the male students and 40% of the female       Log On


   

Question 4333: I need help with a word problem please.
There are 980 students who attend high school. At a recent volleyball game at the school, 35% of the male students and 40% of the female students were in attendance. The total number of students attending the ball game was 369. How many males and how many females attend this high school?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Start by letting M = # of male students and F = # of female students.
Change the percents to equivalent decimals: 35% = 0.35 and 40% = 0.4
Now you can write ths system of equations:
0.35M + 0.4F = 369 The total number of students attending the ball game.
M + F = 980 The total number of students attending school. Rewrite this as:
M = 980 - F and substitute into the first equation.
0.35(980 - F) + 0.4F = 369 Solve for F
343 - 0.35F + 0.4F = 369 Combine like-terms and subtract 343 from both sides.
0.05F = 26 Divide both sides by 0.05
F = 520 The number of female students.
M = 980 - F
M = 980 - 520 = 460 The number of male students.