Printer B prints faster
<em><u>Solution:</u></em>
<em><u>Given that Printer A prints 36 pages every 1.5 minutes</u></em>
Let "x" be the number of pages printed in 1 minute
Therefore,
1.5 minutes = 36 pages
1 minute = x pages
By cross-multiplication,
![1.5 \times x = 36 \times 1\\\\x = \frac{36}{1.5} = 24](https://tex.z-dn.net/?f=1.5%20%5Ctimes%20x%20%3D%2036%20%5Ctimes%201%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B36%7D%7B1.5%7D%20%3D%2024)
Thus unit rate of Printer A is: In 1 minute, Printer A can print 24 pages
<em><u>Printer B prints 114 pages every 3 minutes</u></em>
Similarly,
3 minutes = 114 pages
1 minute = x pages
This forms a proportion. Therefore by crossmultiplying we get,
![3 \times x = 114 \times 1\\\\x = \frac{114}{3} = 38](https://tex.z-dn.net/?f=3%20%5Ctimes%20x%20%3D%20114%20%5Ctimes%201%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B114%7D%7B3%7D%20%3D%2038)
Thus unit rate of Printer B is: In 1 minute, Printer B can print 38 pages
<em><u>Printer C prints 115 pages every 5 minutes</u></em>
Similarly,
5 minutes = 115 pages
1 minute = x pages
This forms a proportion. Therefore by crossmultiplying we get,
![5 \times x = 1 \times 115\\\\x = \frac{115}{5} = 23](https://tex.z-dn.net/?f=5%20%5Ctimes%20x%20%3D%201%20%5Ctimes%20115%5C%5C%5C%5Cx%20%3D%20%5Cfrac%7B115%7D%7B5%7D%20%3D%2023)
Thus unit rate of Printer C is: In 1 minute, Printer C can print 23 pages
unit rate of printer B > unit rate of printer A > unit rate of printer C
On comparing the unit rate of Printer A, B, C we see that, printer B prints faster