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?
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