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Coach Morris of the Math Club bought trophies for the year-end award. She received the trophies either as boxes of 4 gold trophies each, or boxes boxes of 5 smaller “Honorable Mention” trophies each.Coach Morris need 2 gold trophies for every 3 silver trophies. She ordered a total of 44 boxes (she has a very large Math Club!). How many trophies did coach Morris order?

 Jan 11, 2021
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A ratio of 2:3 can be obtained with 20:30

5 gold boxes and 6 silver.

5+6=11.

44/11 is 4.

So there are 5*4 20 gold boxes and 6*4 24 silver boxes. 

20*4 is 80 and 24*5-120.

80+120=200

 Jan 12, 2021

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