SOLUTION: Polar Treats sells one-dip ice cream cones for $2.25, two-dip cones for $3.15, and three dip-cones for $3.85. On Saturday, they sold 200 cones for a total of $599.20. Altogether, P
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Question 1096313: Polar Treats sells one-dip ice cream cones for $2.25, two-dip cones for $3.15, and three dip-cones for $3.85. On Saturday, they sold 200 cones for a total of $599.20. Altogether, Polar Treats used 380 dips of ice cream. How many of each size cone were sold?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I get it that each cone can have either 1, 2, or 3 dips
Let = number of 1-dip cones sold on Sat.
Let = number of 2-dip cones sold on Sat.
Let = number of 3-dip cones sold on Sat.
-----------------------------------------------
(1)
(2)
(3)
----------------------------------------
(3)
(3)
Multiply both sides of (1) by and subtract
(1) from (3)
(3)
(1)
------------------------------------
(4)
-----------------------------
Subtract (1) from (2)
(2)
(1)
---------------------------
(5)
Multiply both sides of (5) by
and subtract (5) from (4)
(4)
(5)
---------------------------
and
(4)
(4)
(4)
(4)
and
(1)
(1)
(1)
-----------------------------
They sold:
84 1-dip cones
52 2-dip cones
64 3-dip cones
----------------------
check:
(3)
(3)
(3)
(2)
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