Difference between revisions of "2019 AMC 12B Problems/Problem 5"

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==Problem==
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#REDIRECT[[2019_AMC_10B_Problems/Problem_7]]
Exact change to buy 12 red candy, 14 green candy, 15 blue candy, or n purple candy. Purple candy cost 20 cents, what is the minimum number of n?
 
 
 
==Solution==
 
We simply need to find a value of 20*n that divides 12, 14, and 15. 20*18 divides 12 and 15, but not 14. 20*21 successfully divides 12, 14 and 15, meaning that we have exact change (in this case, 420 cents) to buy each type of candy, so the minimum value of <math>\boxed{n = 21}</math>. -zachc16
 
 
 
==See Also==
 
{{AMC12 box|year=2019|ab=B|num-b=4|num-a=6}}
 
{{MAA Notice}}
 

Latest revision as of 14:39, 14 February 2019

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