A department store sells a 4-pack of AAA batteries for $3.00
and an 8-pack of AAA batteries for $5.00. The cost of one
battery from the 4-pack is what percent more than the cost of
one battery from the 8-pack, before sales tax is applied?show work plz

Question

A department store sells a 4-pack of AAA batteries for $3.00 
     and an 8-pack of AAA batteries for $5.00. The cost of one 
     battery from the 4-pack is what percent more than the cost of 
     one battery from the 8-pack, before sales tax is applied?show work plz

babalooo · Answer

4pack = $3
$3/4, we get $0.75 for each battery

8pack = $5
$5/8 = $0.625 for each battery

$$\frac{0.75 }{ 0.625 }= 1.2$$

This shows that the cost of a 4pack battery is 120% of the cost of a battery from 8pack. To show the percent more in cost of a 4pack battery, simply subtract 100%.

120-100=20

So, a battery from 4pack is roughly 20% more expensive a battery from 8pack.