SOLUTION: On August 28, the Corwin family recieved 27 pieces of mail, consisting of magazines, bills, letters and ads. If they recieved the same number of magazines as letters, three more bi

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: On August 28, the Corwin family recieved 27 pieces of mail, consisting of magazines, bills, letters and ads. If they recieved the same number of magazines as letters, three more bi      Log On


   



Question 260522: On August 28, the Corwin family recieved 27 pieces of mail, consisting of magazines, bills, letters and ads. If they recieved the same number of magazines as letters, three more bills than letters, and five more ads than bills, how many magazines did they recieve? Write an algebraic equation. Solve your equation.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
On August 28, the Corwin family recieved 27 pieces of mail, consisting of magazines, bills, letters and ads.
m + b + L + a= 27
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If they recieved the same number of magazines as letters, three more bills than letters, and five more ads than bills, how many magazines did they recieve? Write an algebraic equation.
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m = L
b = L + 3
a = b + 5
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Substitute to get:
L + (L+3) + L + (L+3)+5 = 27
4L + 11 = 27
4L = 16
L = 4 = m (# of letters and number of magazines)
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b = L+3 ; b = 7 (# of bills)
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a = b + 5 = 12 (# of ads)
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Cheers,
Stan H.