SOLUTION: 40 adults and 26 went to see a movie on the opening screening and the revenue for the showing was $486.70. The next showing 20 adults and 31 kids went to see the same movie and the
Algebra.Com
Question 1015122: 40 adults and 26 went to see a movie on the opening screening and the revenue for the showing was $486.70. The next showing 20 adults and 31 kids went to see the same movie and the revenue $332.45. How much was an adult ticket and how much was a kid ticket?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
40 adults and 26 kids went to see a movie on the opening screening and the revenue for the showing was $486.70.
The next showing 20 adults and 31 kids went to see the same movie and the revenue $332.45.
How much was an adult ticket and how much was a kid ticket?
:
let a = amt of adult ticket
let k = amt for kids
:
Write an equation for each showing
40a + 26k = 486.70
20a + 31k = 332.45
Use elimination here. Multiply the 2nd equation by 2, subtract the 1st equation
40a + 62k = 664.90
40a + 26k = 486.70
----------------------Subtraction eliminates a, find k
0 + 36k = 178.20
k = 178.20/36
k = $4.95 for kids
:
Use equation 20a + 31k = 332.45 to find a
20a + 31(4.95) = 332.45
20a + 153.45 = 332.45
20a = 332.45 - 153.45
20a = 179
a = 179/20
a = $8.95 for adults
:
:
Check these solutions in the 1st equation: 40a + 26k = 486.70
replace a & k
40(8.95) + 26(4.95) = 486.70
358.00 + 128.70 = 486.70
RELATED QUESTIONS
40 adults and 26 kids went to see a movie on the opening screnning and the revenue for... (answered by mananth)
40 adults and 26 kids went to see a mobie on the openinh screening and the revenue for... (answered by josgarithmetic)
The owner of a movie theater needs to bring in $1600 revenue at each screening in order... (answered by jim_thompson5910,ikleyn)
The sum of John and Kevin's age is 74. In three years, John will be three times as... (answered by checkley79)
The owner of a movie theater needs to bring in $2000 revenue at each screening in order... (answered by lynnlo)
The owner of a movie theater needs to bring in $1600 revenue at each screening in order... (answered by solver91311)
mr.santos treated his students to a movie for winning the state contest. this also... (answered by mananth,stanbon)
A group of adults and kids went to see a movie. Tickets cost $6.00 each for adults and... (answered by ewatrrr)
A group of adults and kids went to see a movie. Tickets cost $6.00 each for adults and... (answered by lwsshak3)