Question

(SHOW WORK THANK YOU) A Machine fills 150 bottles of water every 8 minutes.

a.) How many minutes will it take this machine to fill 675 bottles

b.) How many bottles can the machine make in 12 hours

c.) if the amount produced by the machine in the 12 hours represents 25% of the bottles produced by the factory, how many bottles does the factory produce?

Answer 1

For A- make a proportion
150. 675
—— = ——
8. x

Next cross multiply
150x=5400
Then solve for x
150x/150 5400/150
x=36
It will take 36 minutes to fill 675 bottles

For B- Same steps as A except replace the x in the proportion with 12 and place x in the place of 675
150. x
—— = ——
8. 12
Cross multiply
8x=1800
8x/8. 1800/8
x=225
The machine makes 225 bottles in 12 hours

For C- Since you know that the the factory makes 225 bottles and that is 25 percent of what the factory produces, you can make a proportion

225. 25%
—— = ——
x. 100%

Cross multiply
25x=22,500
25x/25=22,500/25
x=900
The factory produces 900 bottles

Answer 2

A. 84

B. 90

C. 360

Explanation:

675/8 = 84

12 hours= 720 minutes

90

90 times 4 = 360