Tickets for a concert cost $10 for adults and 46 for kids. A number of 725 tickets worth $6450 were sold. How many adult tickets were sold?

Question

I don't understand this question and how to solve it.

Answer 1

10x +46y = 6450 $10 for adults $46 for kids (that may be a typo as kids' prices are usually less than for adults, so maybe it's really $4.60 for kids or the reverse 10 for kids, 46 for adults??)

x+y = 725

46x +46y = 46(725) subtract 1st equation from that to eliminate y as a variable

leaving 36x = 46(725) -6450= 33,350-6450= 26,900. x=26900/36=747.222...

x = 46(725)/36 - 6450/36 = 747 2/9, which is more adult tickets sold than the total number of tickets sold 725. there's a problem with the problem, somewhere, along with a fractional ticket of 2/9

reversing 14 and 46 doesn't help either

try $4.60 for kids' price

10x + 4.6y = 6450

x +y = 725

4.6x + 4.6y = 4.6(725)

subtract

5.4x = 6450 - 4.6(725 = 6450-3335 = 3115, x = 3115/5.4 = about 617.6. better but the fractional ticket is still a problem