SOLUTION: An ice cream shop sells sundaes in three size: small, 89�; MEDIUM, $1.19; and large, $1.39. On a recent day, Robert sold 52 sundaes. He sold two more than twice as many as mediums

Question 1082706: An ice cream shop sells sundaes in three size: small, 89�; MEDIUM, $1.19; and large, $1.39. On a recent day, Robert sold 52 sundaes. He sold two more than twice as many as mediums as larges. If $58.98 was the total income from selling the sundaes, how many of each size did he sell?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of small sizes he sold
Let = number of medium sizes he sold
Let = number of large sizes he sold
-------------------------------------------
There are 3 unknowns, so 3 equations
are needed to solve
(1)
(2)
(3)
-----------------------------------------
(3)
plug 2 into 1
(1)
(1)
Plug (1) and (2) into (3)
(3)
(3)
(3)
(3)
(3)
and
(2)
(2)
(2)
and
(1)
(1)
(1)
----------------------
17 = number of small sizes he sold
24 = number of medium sizes he sold
11 = number of large sizes he sold
--------------------------------------
check answer:
(3)
(3)
(3)
(3)
OK
You can check (1) and (2)

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