SOLUTION: Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how m

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Question 212131This question is from textbook Elementary and Intermediate Algebra
: Tickets for a concert were sold to adults for
$3 and to students for $2. If the total receipts were $824
and twice as many adult tickets as student tickets were
sold, then how many of each were sold? This question is from textbook Elementary and Intermediate Algebra

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Tickets for a concert were sold to adults for
$3 and to students for $2. If the total receipts were $824
and twice as many adult tickets as student tickets were
sold, then how many of each were sold?

Step 1. Let x = number of tickets sold to adults

Step 2. Let y = number of tickets sold to students

Step 3. Total receipts = 824

3x%2B2y=824

Step 4. x=2y since twice as many adults tickets sold when compared to student tickets. y must be a smaller value than x.

Step 5. Substitute x of Step 4 into Step 3.
3x%2B2y=824
3%282y%29%2B2y=824
6y%2B2y=824
8y=824
y=824%2F8
y=103

Step 6. 103 Student tickets were sold and 206 adult tickets were sold where x=2y=2*103=206.

For Step-By-Step Videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.