SOLUTION: terry bought some gum and candy. the number of packages of gum was one more than the number of mints. the number of mints was three the number of candy bars. if gum was 24 cents a

Question 1039437: terry bought some gum and candy. the number of packages of gum was one more than the number of mints. the number of mints was three the number of candy bars. if gum was 24 cents a package, mints were 10 cwnts each and candy bar were 35 cents each, how many of each did he get for $5.72
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of packages of gum Terry bought
Let = number of mints
Let = number of candy bars
------------------------------
(1)
(2)
(3) ( in cents )
-------------------------------------
There are 3 equations and 3 unknowns, so it's solvable
(2)
Substitute (2) into (3)
(3)
Substitute (1) into (3)
(3)
(3)
Multiply both sides by
(3)
(3)
(3)
(3)
and
(1)
(1)
(1)
and
(2)
(2)
(2)
---------------------
He bought 13 pkgs of gum
He bought 12 mints
He bought 4 candy bars
-----------------------
check:
(3) ( in cents )
(3)
(3)
(3)
OK
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