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| ==Problem==
| | #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?
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| ==Solution==
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| 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>.
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| ==See Also==
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| {{AMC12 box|year=2019|ab=B|num-b=4|num-a=6}}
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| {{MAA Notice}}
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