Mickey's Milkshake

Number Theory Level 2

Mickey went to Donald Dee's to buy 75 milkshakes for his party. Each milkshake cost the same integer amount of cents. In total, Mickey spent at least $124.00 on milkshakes. What is the smallest possible cost (in cents) of a milkshake?

Details and assumptions

There is no tax.


The answer is 166.

Arron Kau by Arron Kau

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7 solutions

Raja Fakirchandra
Nov 11, 2013

$1 = 100 cents.

So, $124.00 = 12400 cents.

Smallest possible cost of a milkshake = 12400/75 

                        =166(rounded off)
5 Helpful 0 Interesting 0 Brilliant 0 Confused

Did I mess up with the rounding, my answer was coming 165 cents !

Kou$htav Chakrabarty - 7 years, 6 months ago

ok

somesh shehan - 7 years, 7 months ago

124 divide by 75

RIGAUD Lee - 7 years, 7 months ago

I DONT KNOW ABOUT THE MEANING OF CENT

SAMBA SIVA - 7 years, 6 months ago

Log in to reply

@SAMBA SIVA One dollar is equivalent to 100 cents

Anuj Shikarkhane - 6 years, 7 months ago
Daniel Ejimbe
Nov 10, 2013

As he spends at least $124.00 on 75 milkshakes then the smallest price he pays for each milkshake is ((124 / 75) = (1.6533333)) but you cannot spend a third of a cent so its gets rounded up to 166.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

ok ! I got it

Devesh Rai - 7 years, 6 months ago

but you can spend 165 cents per milkshake.. and keep that 25 cents with yourself..

Satyabrat Behera - 7 years, 6 months ago
Dranyam Ü
Nov 11, 2013

75 * x ≥ 12400

x ≥ 12400/75 = 165.33333 = 166 (Rounded up because of > sign.)

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Shaleni Priya
Nov 10, 2013

Process:

75 * x ≥ 12400

x ≥ 12400/75 = 165.33333 = 166 (Rounded up because of > sign.)

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Yash Bhagwat
Feb 2, 2014

1 dollar = 100 cents... 124 dollars=12400 cents... 12400 / 75=165.35 something..! so...smallest possible cost is 166 cents!

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Hellooooo Friends
Nov 13, 2013

12400/75=165,3333333.... we need integer so the smallest possible cost is 166 (in cents)

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Vishnu Agrawal
Nov 11, 2013

DIVIDE 12400/75

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Can you use words to explain what you mean?

Calvin Lin Staff - 7 years, 7 months ago

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