yvette52
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Nelima has 350 coins to Spend.If she buys one tie and two shirts she is given a change of 25 coins.If she buys 3 ties and 1 shirt she uses all the miney.Find the cost of : a tie and a shirt​

Respuesta :

LazyBun
Answer: Shirt = 125 coins and Tie = 75 coins

Explanation:
Let T stands for Tie
Let S stands for shirt

Use Elimination method:

Add (1) and (2)

2S + 1T = 325 (1)
1S + 3T= 350 (2)
———————-
3S + 4T= 675 (3)

Add (3) and (2)

3S + 4T = 675
-3(1S + 3T = 350)
———————-
3S + 4T = 675
-3S - 9T = -1050
————————-
-5T = -375
T = -375/-5
T = 75

Plug T = 75 in (1)

2S + 1(75) = 325
2S + 75 = 325
2S = 325 - 75
2S = 250
S = 125

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