Picking colors

Algebra Level 3

A box contains a total of 400 tickets that come in five colors: blue, green, red, yellow and orange. The ratio of blue to green to red tickets is 1 : 2 : 4. The ratio of green to yellow to orange tickets is 1 : 3 : 6. What is the smallest number of tickets that must be drawn to ensure that at least 50 tickets of one colour have been selected?

246 196 148 50

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1 solution

Z K
Mar 13, 2014

follow me lol

equate all the ratios to 1:2:4:6:12. add them to get 25x=400 where x=16 now the min number to ensure at least one colour should be the number with large ratio so 12*16=192

Abhilash J Devadiga - 7 years, 2 months ago

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