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At the movie theatre, child admission is 5.50 and adult admission is 9.20. On Monday, three times as many adult tickets as child tickets were sold, for a total sales of 662.00 . How many child tickets
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Oct 19, 2023
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At the movie theatre, child admission is 5.50 and adult admission is 9.20. On Monday, three times as many adult tickets as child tickets were sold, for a total sales of 662.00 . How many child tickets were sold that day?
Mathematics
college
G H Prakash
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G H Prakash
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Answer is 20 child tickets
Step by step
Let child tickets be āCā
Let adult tickets be āAā
We know
Adult tickets = 3 Child tickets
Equation 1
A = 3C
We know C = 5.50 and A = 9.20 and the total is 662
Equation 2
5.50C + 9.20A = 662
Substitute equation 1 value of A into the equation and solve
5.50C + (9.20)(3C) = 662
5.50C + 27.60C = 662
33.10C = 662
Divide both sides by 33.10 to solve for C
33.10 /33.10 C = 662
C = 20
20 child tickets sold
We can solve for adult tickets and check our work
Equation 1
A = 3C
Substitute C value into equation
A = (3)(20)
Adult tickets = 60
We know C = 5.50 and A = 9.20 and the total is 662
5.50C + 9.20A = 662
(5.50)(20) + (9.20)(60) = 662
110 + 552 = 662
662 = 662
We are correct they equal
Problem solved!!
Herolover
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Oct 23, 2023
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Herolover
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