SOLUTION: Cody and Pranav each improved their yards by planting day lilies and ivy. They bought their supplies from the same store. Cody spent $82 on 6 day lilies and 14 pots of ivy. Perry
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Question 1073453: Cody and Pranav each improved their yards by planting day lilies and ivy. They bought their supplies from the same store. Cody spent $82 on 6 day lilies and 14 pots of ivy. Perry spent $29 on 3 day lilies and 1 pot of ivy. What is the cost of one day lily and the cost of one pot of ivy?
Found 2 solutions by addingup, josmiceli:
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
6l+14i = 82
3l+1i = 29 multiply all times -2 and add to equation above:
-------------------
6l+14i = 82
+
-6l-2i = -58
------------
0l+12i = 24
12i = 24
i = 2 the ivy are 2. And the lilly:
6l+14i = 82
6l+14(2) = 82
6l+28 = 82
6l = 54
l = 9 The lilly are 9
----------------------------------
Check:
3l+1i = 29
3(9)+1(2) = 29 Correct.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the cost of 1 day lily
Let = the cost of 1 pot of Ivy
-----------------------------------
(1)
(2)
-------------------------
Multiply both sides of (2) by
and subtract (2) from (1)
(1)
(2)
--------------------------
and
(2)
(2)
(2)
(2)
-------------------------
The cost of 1 day lily is $9
The cost of 1 pot of Ivy $2
-----------------------------
check:
(1)
(1)
(1)
(1)
OK
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