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 = 1500
New 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, proportion
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