SOLUTION: A jazz concert brought $137,000 on the sale of 8,800 tickets. If the tickets sold for $10 and $20 each, how many of each type were sold?
Algebra.Com
Question 1174771: A jazz concert brought $137,000 on the sale of 8,800 tickets. If the tickets sold for $10 and $20 each, how many of each type were sold?
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
x = # of $10 tickets
y = # of $20 tickets
x + y = 8800
10x + 20y = 137000
Multiply first equation by -20:
-20(x + y) = -20(8800)
-20x - 20y = -176000
Here are your two equations:
-20x - 20y = -176000
10x + 20y = 137000
Add the two equations together:
-10x = -39000
Solve for x:
x = 3900
Plug in x = 3900 into the original first equation:
x + y = 8800
3900 + y = 8800
Solve for y:
y = 4900
x = # of $10 tickets = 3900
y = # of $20 tickets = 4900
RELATED QUESTIONS
a jazz concert brought in $113,000 on the sale of 7,200 tickets. If the tickets sold for... (answered by Cromlix)
A jazz concert brought in $191,000 on the sale of 7400 tickets, if tickets were sold for... (answered by nerdybill)
a jazz concert brought in $178000 on the sale of $8600 tickets. if the tickets sold for... (answered by josmiceli)
a jazz concert brought in $178000 on the sale of 8600 tickets. if the tickets sold for... (answered by josgarithmetic)
A jazz concert brought in $165,000 on the sale of 8,000 tickets. if the tickets sold for... (answered by stanbon)
A jazz concert brought in $164,000.00 on the sale of 7,800 tickets. If the tickets sold... (answered by FrankM)
A jazz concert brought in $181,000 on the sale of 8,800 tickets. If the tickets... (answered by addingup)
A jazz concert brought in $165,500 on the sale of 8,100 tickets. If the tickets... (answered by jorel1380)
A JAZZ CONCERT BROUGHT IN $158,000 ON THE SALE OF 7,800 TICKETS. IF THE TICKETS SOLD FOR (answered by Fombitz)