SOLUTION: 88 tickets were sold to a concert. There were 9 fewer's tickets sold to seniors than children. There were 7 more adult tickets sold the children. How many tickets were sold to adu

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 88 tickets were sold to a concert. There were 9 fewer's tickets sold to seniors than children. There were 7 more adult tickets sold the children. How many tickets were sold to adu      Log On


   



Question 986788: 88 tickets were sold to a concert. There were 9 fewer's tickets sold to seniors than children. There were 7 more adult tickets sold the children. How many tickets were sold to adults, to seniors, and the children?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = number of senior tickets sold
Let +a+ = number of adult tickets sold
Let +c+ = number of children's tickets sold
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(1) +s+%2B+a+%2B+c+=+88+
(2) +s+=+c+-+9+
(3) +a+=+c+%2B+7+
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Substitute (2) and (3) into (1)
(1) +c+-+9+%2B+c+%2B+7+%2B+c+=+88+
(1) +3c+=+88+%2B+9+-+7+
(1) +3c+=+90+
(1) +c+=+30+
and
(2) +s+=+c+-+9+
(2) +s+=+30+-+9+
(2) +s+=+21+
and
(3) +a+=+c+%2B+7+
(3) +a+=+30+%2B+7+
(3) +a+=+37+
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21 senior tickets were sold
37 adult tickets were sold
30 children's tickets were sold
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check:
(1) +s+%2B+a+%2B+c+=+88+
(1) +21+%2B+37+%2B+30+=+88+
(1) +88+=+88+
OK