Have you ever had a milkshake? It all started as a simple idea: dump ice cream in a cup, pour in some milk, mix it up into a sweet goopy treat. And this kind of milkshake hasn’t been around that long: only in 1922 did a worker at Walgreens try plopping 2 scoops of ice cream into milk to make a drink. But now in 2016, the milkshake has turned epic in New York City. A burger joint called Black Tap has started topping their shakes with mountains of cotton candy, extra ice cream, chocolate chip cookies, peanut butter cups, and anything else that won’t slide off. It’s like having an ice cream sundae on top of your shake. People wait for up to 2 hours to try one of these tippy treats, which stand up to 1 foot tall. That might not give you time to eat lunch first, but that’s OK – you’d better be super-hungry to have enough room for these sky-high shakes.
Wee ones: If your mega milkshake has milk, ice cream, cookies, whipped cream and chocolate sauce, how many ingredients does it have?
Little kids: If you try a shake every day this week starting on Sunday, but on Saturday you actually eat 2 shakes, how many do you have in total? Bonus: The shakes are not quite a foot tall. If they’re 1 inch shorter than 12 inches, how tall are they?
Big kids: If you get in line at Black Tap at 2:09 pm and wait 2 hours 14 minutes, at what time do you finally get your milkshake? Bonus: There are 3 crazy shakes: Cotton Candy, Sweet and Salty, and Cookie. If Black Tap serves 28 shakes in that repeating order, how many of each kind do they serve?
The sky’s the limit: If today Black Tap serves twice as many Sweet and Salty shakes as Cotton Candy, and 3 times as many Cookie shakes as Sweet and Salty, how many of each shake do they serve if the total is 36?
Wee ones: 5 ingredients.
Little kids: 8 shakes. Bonus: 11 inches – still really crazy for a shake!
Big kids: At 4:23 pm. Bonus: 10 Cotton Candy, 9 Sweet/Salty and 9 Cookie.
The sky’s the limit: 4 Cotton Candy, 8 Sweet and Salty, and 24 Cookie. If you have 2 of the SS for every CC, and then 3 times as many Cookie as SS, then you have 6 Cookie ones for every CC and for every 2 SS, making sets of 9 shakes. And you can fit 4 of those sets in 36. (If you want to show with algebra, c + 2c + (3 x 2c) = 36, so 9c = 36 and c = 4).