A box has dimensions of 17 inches long 1.3 feet wide and 8 inches high what is the volume of the box the formula of the volumes
1 answer:
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Cost of each juice boxes is $ 0.68 and cost of each water bottle is $ 0.24
<em><u>Solution:</u></em>
Let "j" be the cost of each juice box
Let "w" be the cost of each bottles of water
<em><u>One teacher purchased 18 juice boxes and 32 bottles of water and spent $19.92</u></em>
Therefore, we frame a equation as:
18 x cost of each juice box + 32 x cost of each bottles of water = 19.92
18j + 32w = 19.92 ------ eqn 1
<em><u>The other teacher Purchased 14 Juice Boxes and 26 Boxes of water and spent $15.76</u></em>
Therefore, we frame a equation as:
14 x cost of each juice box + 26 x cost of each bottles of water = 15.76
14j + 26w = 15.76 ----------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Multiply eqn 1 by 7</u></em>
126j + 224w = 139.44 -------- eqn 3
<em><u>Multiply eqn 2 by 9</u></em>
126j + 234w = 141.84 ---------- eqn 4
<em><u>Subtract eqn 3 from eqn 4</u></em>
126j + 234w = 141.84
126j + 224w = 139.44
( - ) --------------------
10w = 2.4
Divide both sides by 10
w = 0.24
<em><u>Substitute w = 0.24 in eqn 1</u></em>
18j + 32(0.24) = 19.92
18j + 7.68 = 19.92
18j = 12.24
Divide both sides by 18
j = 0.68
Thus cost of each juice boxes is $ 0.68 and cost of each water bottle is $ 0.24