Flowers 2

Cha cruz has a garden. The ratio roses to tulips is 2 : 5, the ratio of roses to orchids is 7 : 6. Cha cruz wonders what the ratio of tulips to orchids is. If Cha cruz has 183 plants, how many of each kind are there?

Result

r =  42
t =  105
o =  36
p =  35:12

Solution:

 r=2/5 t =42 r=7/6 o r+t+o=183  5r2t=0 7o6r=0 o+r+t=183  o=36 r=42 t=105  \ \\ r=2/5 \cdot \ t \ \\ =42 \ \\ r=7/6 \cdot \ o \ \\ r+t+o=183 \ \\ \ \\ 5r-2t=0 \ \\ 7o-6r=0 \ \\ o+r+t=183 \ \\ \ \\ o=36 \ \\ r=42 \ \\ t=105 \ \\
t=105t=105
o=36o=36



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