The price for a child's admission to a Broadway show is $50. The price for adults is greater than $50 but less than $500 and is a whole number of dollars. If 70 children attend the show and admission receipts total $28,149.00, how many adults attend?

Question

anonymous · Answer

start out by determining the value of receipts for children's admissions. 
70 x $50 = $3,500

anonymous · Answer

subtract this value from the total receipts, leaving us...
$28,149 - $3,500 = $24,649

anonymous · Answer

since the problem tells us the tickets are a whole number, we should start factoring the number 24,649

anonymous · Answer

have you tried this?

anonymous · Answer

yes..this is where i got stuck

anonymous · Answer

how far did you get?

anonymous · Answer

up until this point

anonymous · Answer

no, I was asking what numbers have you used while trying to factor 24,649?

anonymous · Answer

oh..i didnt start factoring it yet

anonymous · Answer

give that a shot then.  let me know when you get stuck.

anonymous · Answer

how do i start?? it seems that every number i put in doesnt work!

anonymous · Answer

yea, that is what I found as well.  sometimes it works to go straight for the square root of a number...

anonymous · Answer

oh..ok so 157

anonymous · Answer

i think what works.  so it looks like the number of adults is the same number as the cost of the tickets.  interesting problem

anonymous · Answer

ok..that does seem kinda wierd but thank you soo much! :)

anonymous · Answer

you are welcome.  good luck.