The usual price of a pencil sold at Shop U and V is $40. During a sale, a discount of 25% is given to every pencil sold at Shop U. At Shop V, a discount of 40% is given to the 5th pencil for every 5 pencils sold. How much cheaper would it be if Olivia buys 12 pencils from Shop U instead of Shop V?

	Shop U	Shop V
Price of 1 pencil	75%  $30	100% $40
Every 5th pencil		60% $24

Price of 1 pencil from Shop U in percentage
= 100% - 25%
= 75%

Price of 1 pencil from Shop U at 25% discount
= 75% x 40
= ⁷⁵₁₀₀ x 40 
= $30

Cost of 12 pencils from Shop U
= 12 x 30
= $360

Price of the 5th pencil from Shop V in percentage
= 100% - 40%
= 60%

Cost of 5th pencil at Shop V
= 60% x 40
= ⁶⁰₁₀₀ x 40 
= $24

Cost of 1 set of 5 pencils at Shop V
= 40 x 4 + 24
= $184

Number of sets of 5 for pencils at Shop V
= 12 ÷ 5
= 2 r 2

Cost of 2 sets of 5 pencils at Shop V
= 2 x 184
= $368

Cost of 2 pencils at Shop V
= 2 x 24
= $48

Cost of 12 pencils at Shop V
= 368 + 48
= $416

Amount cheaper if Olivia buys 12 pencils from Shop U instead of Shop V
= 416 - 360
= $56

Answer(s): $56