Question 109139This question is from textbook Elementary and Intermediate Algebra
: Please help me with this word problem: Write a system of two equations in two unknowns for each problem. Solve each system by substitution. 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 stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Please help me with this word problem: Write a system of two equations in two unknowns for each problem. Solve each system by substitution.
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?
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Let # of adult tickets be "a" ; Let # of student tickets be "s".
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EQUATIONS:
Quantity: a = 2s
Value: 3a+2s = 824
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Substitute to solve for "s", as follows:
3a + 2(2s) = 824
7s = 824
s = 117.714...
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Comment: # of student tickets should turn out
to be a whole number. Check your problem
statement.
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Cheers,
Stan H.
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