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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