MATH SOLVE

6 months ago

Q:
# It takes 60 minutes to make 2000 copies on an old copy machine. The newer copier works with the old copier to create 2000 sheets and it only takes 15 minutes. How many minutes would the new copier need to create the 2000 copies on its own?

Accepted Solution

A:

The new copier can create 2000 copies in 20 minutes.Step-by-step explanation:Given, It takes 60 minutes to make 2000 copies by old printer and 15 minutes to made x number of copies, therefore, using proportion[tex]60:2000::15:x[/tex]Product of mean = Product of extreme[tex]2000*15=60*x\\30000=60x\\60x=30000[/tex]Dividing both sides by 60[tex]\frac{60x}{60}=\frac{30000}{60}\\x=500[/tex]As the new copier is working with old copier, therefore, Copies made by new printer = 2000 - 500 = 1500New copier can make 1500 copies in 15 minutes and 2000 copies in x minutes, using proportion[tex]1500:15::2000:x\\1500*x=15*2000\\1500x=30000[/tex]Dividing both sides by 1500;[tex]\frac{1500x}{1500}=\frac{30000}{1500}\\x=20[/tex]The new copier can create 2000 copies in 20 minutes.Keywords: ratio, proportionLearn more about proportions at:brainly.com/question/2860697brainly.com/question/2977815#LearnwithBrainly