HMMT 十一月 2014 · 冲刺赛 · 第 3 题
HMMT November 2014 — Guts Round — Problem 3
题目详情
英文原题
- [ 5 ] Victoria wants to order at least 550 donuts from Dunkin’ Donuts for the HMMT 2014 Novembercontest. However, donuts only come in multiples of twelve. Assuming every twelve donuts cost $7 . 49,
what is the minimum amount Victoria needs to pay, in dollars? (Because HMMT is affiliated with
MIT, the purchase is tax exempt. Moreover, because of the size of the order, there is no delivery fee.)
HMMT NOVEMBER 2014, 15 NOVEMBER 2014 — GUTS ROUND
Organization Team Team ID#
解析
英文解析
- [ 5 ] Victoria wants to order at least 550 donuts from Dunkin’ Donuts for the HMMT 2014 Novembercontest. However, donuts only come in multiples of twelve. Assuming every twelve donuts cost $7 . 49,
what is the minimum amount Victoria needs to pay, in dollars? (Because HMMT is affiliated with
MIT, the purchase is tax exempt. Moreover, because of the size of the order, there is no delivery fee.)
Answer: 344.54 The smallest multiple of 12 larger than 550 is 552 = 12 · 46. So the answer is
46 · $7 . 49. To make the multiplication easier, we can write this as 46 · ($7 . 5 − $0 . 01) = $345 − $0 . 46 =
$344 . 54.
Note: this is the actual cost of donuts at the 2014 HMMT November contest.