SOLUTION: There are 103 major sources of pollen in the US. These pollen sources are catagorized as grasses, weeds, and trees. If the number of weeds is 5 less than twice the number of grasse

Algebra ->  Equations -> SOLUTION: There are 103 major sources of pollen in the US. These pollen sources are catagorized as grasses, weeds, and trees. If the number of weeds is 5 less than twice the number of grasse      Log On


   



Question 1092937: There are 103 major sources of pollen in the US. These pollen sources are catagorized as grasses, weeds, and trees. If the number of weeds is 5 less than twice the number of grasses, and the number of trees is 3 more than twice the number of grasses, find the number of grasses, weeds, and trees that are major pollen sources.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
G = # of grasses
W = # of weeds
T = # of trees.


W = 2G -5     <<<---===  From the condition

T = 2G + 3    <<<---===  From the condition


G +   W     +   T    = 103
G + (2G-5)  + (2G+3) = 103  ====================>


5G - 2 = 103,

5G = 103 + 2 = 105  ====>  G = 105%2F5 = 21.


From this point, can you complete the solution on your own ?