SOLUTION: At the local convenience store, 6 bags of chips and 4 containers of dip cost $34. However, 4 bags of chips and 2 containers of dip cost $20. What is the cost of one bag of chips an
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-> SOLUTION: At the local convenience store, 6 bags of chips and 4 containers of dip cost $34. However, 4 bags of chips and 2 containers of dip cost $20. What is the cost of one bag of chips an
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Question 480463: At the local convenience store, 6 bags of chips and 4 containers of dip cost $34. However, 4 bags of chips and 2 containers of dip cost $20. What is the cost of one bag of chips and one container of dip? Answer by mathstutor494(120) (Show Source):
You can put this solution on YOUR website! Let "c" and "d" be cost per unit bag of chips and container of dip respectively
Given in the problem.... 6 bags of chips and 4 containers of dip cost $34
which is expressed as
6c+4d=34............(1)
Also given that 4 bags of chips and 2 containers of dip cost $20
which is expressed as
4c+2d=20........(2)
Multiplying eqn no. 2 by 2 results in
8c+4d=40..........(3)
Subtracting eqn no 1 from 3 results in
(8c+4d)-(6c+4d)=40-34
8c+4d-6c-4d=6
2c=6 ( as 4d gets cancelled out)
dividing both sides by 2
c=3
Now substituting value of c in eqn no.1 to get value of d.....
6*3+4d=34
18+4d=34
Subtracting 18 from either side in above equation results in
4d=16
Dividing both sides by 4
d=4
Ans : cost of one bag of chips $3 and one container of dip $4
