ticket did they sell?
BRAIN TEASER!!!
2007-10-22 11:23:07 · 4 answers · asked by jake 1 in Science & Mathematics ➔ Mathematics
Intuitively you can reason as follows:
If only kids come, they will sell $100 worth of tickets. However, for each adult that comes, they make an additional $1 in ticket sales. Since the total sales were $135, there must have been 35 adults (and 15 kids).
You can also solve this algebraically:
Let A be the number of adults tickets sold.
Let 50-A be the number of kids tickets sold
3A + 2(50 -A) = 135
3A + 100 - 2A = 135
A = 35
50-A = 15.
So 35 adult tickets, 15 kids tickets.
Double-check:
35 * $3 + 15 * $2= $105 + $30 = $135
2007-10-22 11:27:13 · answer #1 · answered by Puzzling 7 · 0⤊ 0⤋
k + a = 50
2k + 3a = 135
k = -a +50
2(-a +50) + 3a = 135
-2a + 100 + 3a = 135
a = 35
k = -35 + 50
k = 15
Check:
15 + 35 = 50 2(15) + 3(35) = 135
50 = 50 30 + 105 = 135
135 = 135
So they sold 15 kid tickets and 35 adult tickets
2007-10-22 11:26:09 · answer #2 · answered by Ms. Exxclusive 5 · 0⤊ 0⤋
Kids = 15 and Adults = 35
2007-10-22 11:28:04 · answer #3 · answered by Steve T 5 · 0⤊ 0⤋
15 kids
35 adults
2007-10-22 11:27:23 · answer #4 · answered by mahima 2 · 0⤊ 0⤋