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QI need help with a word problem please

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?

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#1quaneshiaAnswered at 2013-03-03 22:49:35
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.
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