How would you show the equation for this:
A theater charges $4 per person before 6:00 p.m. and $7 per person after 6:00 p.m. The total ticket sales for Saturday was $11,228. What are the possible numbers of people that attended that theater before and after 6:00 p.m.?
2006-12-17 09:37:25 · 4 answers · asked by swift 1 in Science & Mathematics ➔ Mathematics
This is a diophantine equation, a linear one in fact.
We have 4b+7a=11228, So b=(11228-7a)/4 = 2807-a-3a/4. So a is a multiple of 4, let a=4t, then b=2807-7t. Now simply sub in positive integer values for t, making sure b >=0, in other words, t<=401. There are therefore 402 possible pairs that satisfy your question.
Steve
2006-12-17 09:59:32 · answer #1 · answered by Anonymous · 1⤊ 0⤋
Let x = number of people who attended before 6:00 pm
Let y = number of people who attended after 6:00 pm
4x + 7y = $11,228
2006-12-17 17:49:10 · answer #2 · answered by Northstar 7 · 0⤊ 2⤋
Let
x= number of people before 6:00pm
y= number of people after 6:00pm
Then
4x + 7y = 11228
2006-12-17 17:41:58 · answer #3 · answered by ktann 2 · 0⤊ 2⤋
I guess its probably 4083 people went before 6 and 7145people went after 6.
2006-12-17 17:48:39 · answer #4 · answered by beautifullfalife 1 · 0⤊ 1⤋