Brain Teasers
Romankachi Goodies !!!
Last week, I'd been to the famous Romankachi cookie store "Cookie World" and found that there were three types of cookies to my liking - kachie costing $11 each, chococook costing $7 each and peacon costing $8 each. I had spent any amount between $45 and $50 (Both values inclusive). In how many ways could I have purchased the items, if I wanted to purchase at least one of each type of cookie ?
Answer
There are 6 ways.Since it is given that one item each has to be definitely bought, the minimum amount spent by me was $11 + $7 + $8 = $26. Using this minimum amount I should have bought at least one kachie, one chococook and one peacon cookies.
Since my total expenditure was $45 to $50, the extra amount I still have to spend (after having spent the minimum amount of $26) is $19 to $24, both $45 and $50 inclusive.
This extra amount can be spent in 6 possible ways as shown below :-
1) 2*11 = $22 (two kachie cookies).
2) 1*11 + 1*8 = $19 (one kachie cookie and one peacon cookie).
3) 2*7 + 1*8 = $22 (two chococook cookies and one peacon cookie).
4) 2*8 + 1*7 = $23 (two peacon cookies and one chococook cookie).
5) 7*3 = $21 (three chococook cookies)
6) 8*3 = $24 (three peacon cookies).
Hence there are six ways of spending the extra amount.
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Comments
Expensive cookies!
Those are not US dollars, nor Canadian dollars, not even Hong Kong dollars, but Romankachi dollars, which are probably close in value to the Taiwanese New Dollar (about 3 US cents).
what the hell is all the romankachi crap about seriusly.
Why are you guys after inappropriate things? Whether a Romankachi dollar is worth 3 US cents or more or less is not very necessary to get to the answer. Concentrate on solving the teaser guys.
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