The student council sold 661 T-shirts, some at $10 and some at $12. When recording the amount of T-shirts they had sold at each of the two prices, they reversed the amounts. They thought they made $378 more than they really did. How many T-shirts actually were sold at $10 per shirt?
+773 Well, since x = 10 dollar shirts
Then:
661 - x = 12 dollar shirts
10x + 12 (661-x) + 378 = 12x + 10(661-x)
10x +7932 - 12x + 378 = 12x +6610 -10x
So: x = 425 shirts at $10
Hope this helps, whymenotsmart^m^.
+1009 So let's say x is the money they made at 10 dollars(a) and 12(b). The two variables are for the number sold.
They reversed it so that it was 12(a) and 10(b).
Thus
12a +10b = 10a + 12b + 378
Some rearrangement:
12a +10b - 10a -12 b = 378
2a - 2b = 378
a-b = 189
So we sold 661 tshirts.
661-189= 472,/2 = 236
So b = 236 and a = 236 + 189 = 425.
425*10 + 236*12 = 7082
Flip around, 425* 12 + 236 * 10 = 7460.
7460- 7082 = 278.
Thus 425 at 10, 236 at 12.
if you don't understand anything feel free to ask.
Great solution, whymeissmart hehehe
+773 thanks, you too, maybe I should change my name, so you would stop making fun of me (JK....)!!
+1009 I actually don't think that's possible...
Whymenottnewton
LOL
I can do this all day!
+773 LOL, for some reason, titaniumrome is in the leaderboard now, for some reason, but then I scroll down for leaderboards rom is in the leaderboards, you know what I mean, hugo??
