SOLUTION: On August 4, the Abbott family received 19 pieces of mail, consisting of magazines, bills, letters, and ads. If they received the same number of magazines as letters, three more bi

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Question 380345: On August 4, the Abbott family received 19 pieces of mail, consisting of magazines, bills, letters, and ads. If they received the same number of magazines as letters, three more bills than letters, and five more ads than bills, how many magazines did they receive?

Answer by Fombitz(32388) About Me  (Show Source):
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M-magazine
B-bill
L-letter
A-ad
.
.
M%2BB%2BL%2BA=19
.
.
.
M=L
B=L%2B3
A=B%2B5=L%2B3%2B5=L%2B8
Substituting in the first equation,
L%2B%28L%2B3%29%2BL%2BL%2B8=19
4L%2B11=19
4L=8
L=2
Then,
M=2
B=2%2B3=5
A=5%2B5=10