SOLUTION: The scenario below can be represented by a system of equations. Show representations that can be used and respond to the questions. �Two small bottles and one large bottle can

Question 279087: The scenario below can be represented by a system of equations. Show representations that can be used and respond to the questions.
�Two small bottles and one large bottle can hold 10 cups of water. One large bottle minus one small bottle will give you 4 cups of water. How many cups of water can each bottle hold?�
Thanks for your help in advance.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
L = volume of liquid held by a large bottle
S = volume of liquid held by a small bottle
2S + L = 10 cups
or
L + 2S = 10
.
L - S = 4 cups
.
L + 2S = 10
L - S = 4
.
Subtracting the second equation from the first.
3S = 6
Divide both sides by 3
S = 2
.
Looking back, we see
L = S + 4 = 2 + 4 = 6
.
Checking these values to see if they're correct...
.
L + 2S = 10??
6 + 2*2 = 10??
Yes.
.
Answer:
The volume of the large bottle is 6 cups.
The volume of the small bottle is 2 cups.
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