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A sweet seller has 420 kaju barfis an...

A sweet seller has 420 kaju barfis and 130 badam barfis. She wants to stack them in such a way that each stack has the same number and they take up the least area of the tray. What is the maximum number of barfis that can be placed in each sta

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Maximum number of burfis in each stack = H.C.F. of 420 and 150
`420 = 2 xx 2 xx 3 xx 5 xx 7 , 150 = 2xx 3 xx 5 xx 5`
`therefore " "` H.C.F. = ` 2 xx 3 xx 5 = 30`
`therefore` Maximum number of burfis in each stack = 30
`therefore` Also , number of stacks = `(420)/(30) + (150)/(30) = 14 + 5 = 19`
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