Jamie, john, and jake are on the prom committee. they are responsible for blowing up the balloons for prom night. john can blowup a balloon every 15 seconds while it takes jamie and jake 20 seconds per balloon. if 1 out of 80 balloons are found to be defected after they are inflated, identify the expression which represents the number of balloons inflated per hour.

a) 592.5x
b) 592.5 - 1/80x
c) 600x - 1/80
d) 600 - 1/80x

First, pass all the rate of inflation to ballons/hour

John: 1 b/15s * 3600 s/h = 240 b/h
Jamie: 1 b/20s * 3600 s/h = 180 b/h
Jake: 180 b/h

Then sum the rates to obtain the total rate

Total ballons per hour: 240 b/h + 180 b/h + 180b/h = 600 b/h

If it passes x hours the number of ballons inflated is 600*x

The number of ballon defective are 600*x/80

The number of ballons effectiveley inflated = 600x -600x/80 = 600x - 7.5x = 592.5x.

option A)

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

the value of x is equal to 0.