12-pack for 1.69 is a better buy
<em><u>Solution:</u></em>
Given that, Mike bought a 12-pack for 1.69 and Mary bought a 24-pack for 3.18
We have to find which is the better buy
First we have to find the unit rate
Unit rate is cost of 1 pack
<em><u>Mike bought a 12-pack for 1.69</u></em>
Therefore,
Cost of 12 pack = 1.69
Cost of 1 pack is found by dividing 1.69 by 12
![cost\ of\ 1\ pack = \frac{1.69}{12} = 0.14083](https://tex.z-dn.net/?f=cost%5C%20of%5C%201%5C%20pack%20%3D%20%5Cfrac%7B1.69%7D%7B12%7D%20%3D%200.14083)
Thus unit rate of Mike is 0.14083 dollar per pack
<em><u>Mary bought a 24-pack for 3.18</u></em>
Cost of 24 pack = 3.18
Cost of 1 pack is found by dividing 3.18 by 24
![cost\ of\ 1\ pack = \frac{3.18}{24} = 0.1325](https://tex.z-dn.net/?f=cost%5C%20of%5C%201%5C%20pack%20%3D%20%5Cfrac%7B3.18%7D%7B24%7D%20%3D%200.1325)
Thus unit rate of Mary is 0.1325 dollars
<em><u>On comparing both the unit rate</u></em>
![0.14083>0.1325](https://tex.z-dn.net/?f=0.14083%3E0.1325)
Thus unit rate of Mike is larger
Thus, 12-pack for 1.69 is a better buy