Answer:
Step-by-step explanation:
Let j represent the cost of a juice box.
Let w represent the cost of a bottle of water.
One teacher purchased 18 juice boxes and 32 bottles of water, and spent $19.92.. This means that
18j + 32w = 19.92 - - - - - - - - - - - - 1
The other teacher purchased 14 juice boxes and 26 bottles of water, and spent $15.76. This means that
14j + 26w = 15.76- - - - - - - - - - - - 2
Multiplying equation 1 by 14 and equation 2 by 18, it becomes
252j + 448w = 278.88
252j + 468w = 283.68
Subtracting, it becomes
- 20j = - 4.8
j = - 4.8/- 20 = 0.24
Substituting j = 0.24 into equation 1, it becomes
18 × 0.24 + 32w = 19.92
4.32 + 32w = 19.92
32w = 19.92 - 4.32 = 15.6
w = 15.6/32 = 0.4875
Kara's prices are incorrect.
the cost of a juice box is $0.24
the cost of a bottle of water is $0.4875
, where H is a height of cone and R is a radius of the bottom. 
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