SOLUTION: Four pounds of onions cost the same as 2 pounds of string beans. At the same time, 1 pound of string beans costs 3 times as much as a pound of potatoes, while one pound of onions c

Question 1157877: Four pounds of onions cost the same as 2 pounds of string beans. At the same time, 1 pound of string beans costs 3 times as much as a pound of potatoes, while one pound of onions costs 4 cents less than 2 pounds of potatoes. What is the total cost (without tax) of 1 pound of each of the vegetables?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the cost per pound of onions
Let = the cost per pound of string beans
Let = the cost per pound of potatoes
------------------------------------------------------
(1)
(2)
(3)
----------------------------
(3)
(3)
Plug this into (2)
(2)
(2)
(2)
Plug this resuilt into (1)
(1)
(1)
----------------------
(1)
(1)
(1)
----------------------
(3)
(3)
(3)
(3)
------------------------
$0.12 = the cost per pound of onions
$0.24 = the cost per pound of string beans
$0.08 = the cost per pound of potatoes
------------------------
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
and
(3)
(3)
(3)
(3)
OK
check my math!
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