# (1) Mathematics

Discussion in 'The Edge of the Forum' started by ComeTurismO, Apr 26, 2015.

# (1) Mathematics

391 Views
1. ### ComeTurismOCTO

Member
Sep 18, 2011
4:54 PM
VinsCool gave a visit to Lauren De Casta's soup shop. He bought 14 chicken corn soups and 12 vegetable soups. It costed him a total of \$266. 2Hack went to the same shop and bought 12 chicken corn soups and 12 vegetable soups. It costed him a total of \$233. How much does one serving of chicken soup cost? How much does one vegetable soup cost? Solve with elimination/substitution.

HELP ME

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2. ### FAST6191Techromancer

Reporter
Nov 21, 2005
Assuming the shop owner does not implement a variable pricing structure
because I can not be bothered to type it then c = chicken and v = vegetable.
From your description you have some simultaneous equations
14c + 12v = 266
12c + 12v = 233

Rearranging to get one value by itself
14c - 12c + 12v - 12v = 266 - 233

2c + 0v = 2c = 33

1c = 33/2 = 16.5

Knowing c you can put the value in and get v by itself.

14 * 16.5 + 12v = 266

231 + 12v = 266

12v = 35

I will leave it there.

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3. ### storm75xRemember that thing I don't remember? Yeah, that!

Member
Jan 3, 2015
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Let Chicken Corn Soup be c and Vegetable Soup be v.

VinsCool: 14c + 12v = 266

2Hack: 12c + 12v = 233

Process of Elimination:
(14c + 12v) - (12c + 12v) = 266 - 233
2c = 33
Therefore: c = \$16.5

12(16.5) + 12v = 233
12v = 35
Therefore: v ≈ \$2.90

Process of Substitution:
12c + 12v = 233
12c = 233 - 12v

14c + 12v = 266
14c + (233 - 12v) = 266
2c = 33
Therefore: c = \$16.5

12(16.5) + 12v = 233
12v = 35
Therefore: v ≈ \$2.90

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