Question 279087
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.