Question 1113729

Jessica spent $195 on 3 chairs & 5 pots of flowers
Alondra spent $246 on 6 chairs & 2 pots of flowers
Marisol bought 8 chairs & 12 pots of flowers

How much should Marisol expect to pay?
<pre>3C + 5P = 195 ------ eq (i)			
6C + 2P = 246 ------ eq (ii)
3C + P = 123 ------- Dividing eq (ii) by 2 ------ eq (iii)
    4P = 72 -------- Subtracting eq (iii) from eq (i)
P, or cost of 1 pot of flowers = {{{highlight_green(matrix(1,3, 72/4, "=", "$18"))}}}
3C + 18 = 123 ------ Substituting 28 for P in eq (iii)
3C = 105
C, or cost of 1 chair = {{{highlight_green(matrix(1,3, 105/3, "=", "$35"))}}}

Cost of 8 chairs and 12 pots of flowers: {{{highlight_green(matrix(1,9, 8(35), "+", 12(18), "=", 280, "+", 216, "=", "$496"))}}}