SOLUTION: Bob Marley and the wailers had a reggae concert. The attendance at the concert was 10,483. There were 811 more boys than girls and 2,481 fewer adults over 50 years of age than ther

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Question 536812: Bob Marley and the wailers had a reggae concert. The attendance at the concert was 10,483. There were 811 more boys than girls and 2,481 fewer adults over 50 years of age than there were girls. How many of each group attended the concert.
Answer by fcabanski(1391) About Me  (Show Source):
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Call number of boys = b.


If there were 811 more boys than girls, then call the number of girls b-811.


There were 2481 fewer adults than girls (b-811), so call the number of adults b-811-2481.


The sum of all of these is 10483.


b%2B%28b-811%29%2B%28b-811-2481%29=10483


Add the b's and the numbers.


3b-4103=10483


Add 4103 to each side.


3b+=+14585


Divide both sides by 3.


b=4862


There are 4862 boys.


There are b-811 = 4862-811 = 4051 girls.


There are b-811-2481 = 4862-811-2481 = 1570 adults.


4862+4051+1570=10483.

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