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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