Luke Cage wants to get back at Jessica Jones for prank Ing him last week by putting all of his TV remotes in Jell-O. He decides to fill her hot tub with pudding. It’s the perfect revenge. Luke finds a great deal for putting cups on Amazon. He can get a 36 pack for $9.74. What a deal! Each cup holds 3.25 ounce of yummy putting, BTW. Luke also knows that the hot tub is about 5 feet with, 5 feet long, and 2.5 feet deep. How many packs will Luke need to buy in order to fill the hot tub? How much will this prank cost him

Given the dimensions of the hot tub (5ft x 5ft x 2.5ft), you first need to find the volume of the object to figure out how many ounces of pudding it will hold.

V = l x w x h = 5 x 5 x 2.5 = 62.5 ft³

1 ft³ = 957.06 ounces

[tex]\frac{1}{957.06}=\frac{62.5}{x}[/tex] or x = 59,844.125 ounces

Each cup of pudding holds 3.25 ounces of pudding and there are 36 cups in the pack, so the total amount of ounces Luke can get for $9.74 is:

3.25 x 36 = 117 ounces

[tex]\frac{59,844.125}{117}[/tex]≈[tex]512packs[/tex]

Each 36 pack costs $9.74 and Luke will need 512 of them:

9.74 x 512 = $4,986.88