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Question 247998: I have another one I don't understand it says, A disc jockey must play 14 commercial spots during 1 hour of a radio show, each commercial is either 30 seconds or 60 seconds long, if the total commercial time during 1 hour is 11 minutes how many 30 second commercials were played that hour? and how many 60 second commercials were played that hour?
Can someone please help? thank you
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! jockey must play 14 commercial spots during 1 hour of a radio show,
each commercial is either 30 seconds or 60 seconds long,
if the total commercial time during 1 hour is 11 minutes, how many 30 second commercials were played that hour?
and how many 60 second commercials were played that hour?
:
Let x = no. of 30 sec spots
Let y = no. of 60 sec spots
:
Let's do everything in minutes; 60 sec = 1 min; 30 sec = .5 min
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Write an equation for the number of commercials (14)
x + y = 14
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Write an equation for the total time of the commercials (11 min)
.5x + y = 11
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Subtract this equation from the 1st equation
x + y = 14
.5x + y = 11
---------------subtraction eliminates y, find x
.5x + 0 = 3
x = 2(3)
x = 6 ea 30 sec commercials
:
Find the no. of 60 sec commercials
14 - 6 = 8
;
:
Check n the total time equation
.5(6) + 1(8) =
3 + 8 = 11 minutes
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