SOLUTION: Galina spent $3.60 for stamps to mail packages. Some were .30 stamps and the rest were .20 stamps. The number of .20 stamps was 2 less than the number of .30 stamps. How many stamp

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Question 896785: Galina spent $3.60 for stamps to mail packages. Some were .30 stamps and the rest were .20 stamps. The number of .20 stamps was 2 less than the number of .30 stamps. How many stamps of each kind did Galina buy?
I need to find the system of equations and shown work.

Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Assigning Variables:
L = 0.20 dollars per stamp
H = 0.30 dollars per stamp
C = $3.60, the cost of mailing all the packages
u = count of the L stamps
v = count of the H stampes
u=-2+v, number of .20 stamps was 2 less than the number of .30 stamps.

The simpler equation can be restated as v-u=2.

Account for cost, C,
%28Lu%2BHv%29=C

You can fill in the given values whenever you want, but your system of equations, using u and v as the UNKNOWN variables can be
highlight%28system%28Hv%2BLu=C%2Cv-u=2%29%29,
a system of two linear equations.