Ricky purchase Shoes for $159.95 and then exchanged them at a buy 1 get 1 half off sale. The shoes that he purchased on his return trip were $74.99 and $68.55. How much did he receive back from the store after his second transaction?

50.68

Step-by-step explanation:

The higher priced shoes are full price and the lower priced shoes will be 1/2 price

74.99 + 1/2 (68.55)

74.99 + 34.28

109.27

He had 159.95 in credit

159.95-109.27

50.68 in  return

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x