algebra
posted by Anonymous on .
a disk jockey must play 14 commercial spots during one hour of radio show, each commercial is eiter 30 seconds or 60 seconds long. If the total commercial time during one hour is 11 minutes, then ow many 30 second commercials were played that hour?

x of 30 sec so (14x) are 60 sec
11*60 = 660 sec
so
30 x + 60(14x) = 660
870  30 x = 660
30 x = 210
x = 7 
short commercial  x
long commercial  y
x+y = 14 , #1
30x + 60y =11(60)
x + 2y = 22 , #2
#2  #1
y = 8
then x = 6
6 shorts , 8 long
check : 6+8 = 14
30(6) + 60(8) = 180+480 = 660 = 11(60) 
x of 30 sec so (14x) are 60 sec
11*60 = 660 sec
so
30 x + 60(14x) = 660
840  30 x = 660
30 x = 180
x = 6