algebra
posted by Bryce .
One half of the boys and onethird of the girls of Freemont High attended the homecoming game, wheras onethird of the boys and onehalf of the girls attended the homecoming dance. If there were 570 students at the game and 580 at the dance, then how many students are there at Freemont High?

b/2 + g/3 = 570 >3b+2g = 3420 (#1)
b/3 + g/2 = 580 >2b+3g = 3480 (#2)
#1 times 2 > 6b+4g = 6840
#2 times 3 > 6b+12g = 10440
subtract them:
8g = 3600
g = 450
back in #1:
3b + 900 = 3420
3b=2520
b=840
450 boys and 840 girls
Respond to this Question
Similar Questions

math
Ms Price has three times as many girls as boys in her classroom Ms Lippy has twice as many girls as boys. Ms. Price has 60 students, and Ms Lippy has 135 students. If the classes were combined into one, what would be the ratio of girls … 
arithmetic
one half of the students are girls. one third of the girls have long hair. What fraction of the students are girls with long hair? 
math
there were 490 altogether in 2 groups. group A consited of only boys and group b constied of only girls. ther were 2 and a half times as many girls as boys. some girls joined group b and foe every 4 boys in group a 32 more boys jioned … 
Math
a class has 10 boys and 5 girls; three students are selected from the class at random one after other. the probability that the first two boys and the third is a girl? 
math
3/4 of the students in a school were girls and the rest were boys. 2/3 of the girls and 1/2 of the boys attended the school carnival. Find the total number of students in the school if 330 students did not attend the carnival. 
Gen Math
A school dance has 228 students. There are 63 fewer girls than twice as many boys. How many boys and girls attended the dance? 
MATH
1,020 students attended the homecoming game. If this 85% of the student body, how many students are there in all? 
math
A soccer match was attended by 450 spectators. One third of them were men, two fifth of them were women and one tenth of them were boys. How many girls attended the soccer match? 
Math
3/4 of the students in a school were girls and the rest were boys. 2/3 of the girls and 1/2 of the boys attended the school carnival. How many students attended the carnival of 330 did attend. 
math
One third of the boys and one half of the girls participate in a social work. If the number of participating students is 300 out of which 100 are boys,what is the total number of students?