Find and solve a system of equations given the following information. Three people go to a store where there is a sale. Every shirt in the store are x dollars, all pants are y dollars and all sweaters are z dollars. One person buys two shirts, one pair of pants and one sweater, The second person buys one shirt, two pairs of pants and two sweaters. The third person buys three shirts and four pairs of pants. Find the price of each item if the first person spent $180 and the second and third person spent $260 each.
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Find Price of Items
- Thread starter GWS
- Start date
Re: ok
By simply following what the problem said:
Every shirt in the store are x dollars, all pants are y dollars and all sweaters are z dollars.
Soooo I used shirts=x, pants=y and sweaters=z :wink:
One person buys two shirts, one pair of pants and one sweater:
2x + 1y + 1z = 180 (1st person spent $180)
The second person buys one shirt, two pairs of pants and two sweaters:
1x + 2y + 2z = 260 (2nd person spent $260)
The third person buys three shirts and four pairs of pants:
3x + 4y = 260 (3rd person also spent $260)
Now wasn't that EASY :twisted:
GWS said:Denis,
Thank you for setting up the 3 equations in 3 variables. I can take it from here.
How on Earth did you come up with the right equations?
By simply following what the problem said:
Every shirt in the store are x dollars, all pants are y dollars and all sweaters are z dollars.
Soooo I used shirts=x, pants=y and sweaters=z :wink:
One person buys two shirts, one pair of pants and one sweater:
2x + 1y + 1z = 180 (1st person spent $180)
The second person buys one shirt, two pairs of pants and two sweaters:
1x + 2y + 2z = 260 (2nd person spent $260)
The third person buys three shirts and four pairs of pants:
3x + 4y = 260 (3rd person also spent $260)
Now wasn't that EASY :twisted: