SOLUTION: 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 expe

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?
Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Let the chairs be C and the pots P (you can make them x and y if you want):
3C + 5P = 195 (1)
6C + 2P = 246 (2)
Multiply (1) times 2 to make equation (3)
Multiply (2) times -1 and add to equation (3)
--------------------------------------
6C + 10P = 390
+
-6C - 2P = -246
---------------------
0C + 8P = 144
8P = 144
P = 18 The pots were $18 each
Now let's find the price of the chairs, let's use equation (2):
6C + 2P = 246
6C + 2(18) = 246
6C + 36 = 246
6C = 210
C = 35 Each chair cost $35
---------------------------------------------
Since we used equation (2) to find out the price of the chairs, let's now use equation (1) to make sure we have the correct ansswers:
3C + 5P = 195
3(35) + 5(18) = 195
105 + 90 = 195 Correct
---------------------------------
How much should Marisol expect to pay?
8C + 12P = 8(35) + 12(18) = 280 + 216 = 496
Marisol should expect to pay $496

Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!

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?

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 =
3C + 18 = 123 ------ Substituting 28 for P in eq (iii)
3C = 105
C, or cost of 1 chair =
Cost of 8 chairs and 12 pots of flowers:
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