SOLUTION: Six rolls of tape and one package of manila envelopes cost $12.03. Four rolls of tape and 3 packages of manila envelopes cost $12.43. Find the price of one roll of tape. $ Find t

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Six rolls of tape and one package of manila envelopes cost $12.03. Four rolls of tape and 3 packages of manila envelopes cost $12.43. Find the price of one roll of tape. $ Find t      Log On

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Question 869465: Six rolls of tape and one package of manila envelopes cost $12.03. Four rolls of tape and 3 packages of manila envelopes cost $12.43. Find the price of one roll of tape. $ Find the price of one package of manilla envelopes. $
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
Set t = the price of a roll of tape
m = the price of a package of envelopes
6t + 1m = 12.03
4t + 3m = 12.43
multiply the top equation by -3
-18t -3m = -36.09
4t +3m = 12.43
Add the equations
-14t = -23.66
divide each side by -14
t = 1.69
Substitute 1.69 for t in 6t + 1m = 12.03
6(1.69) + m = 12.03
10.14 + m = 12.03
add -10.14 to each side
m = 1.89
So tape is $1.69 and envelopes are $1.89