Expensive 4338

He bought a T-shirt, a tie and a shirt. The tie was three times cheaper than the shirt. The T-shirt was 70kc more expensive than the tie. He paid a total of 470kc. How much did he pay for a tie, a T-shirt, and a shirt?

Correct answer:

k =  240
t =  150
v =  80

Step-by-step explanation:


v+t+k = 470
v = k/3
t = 70+v

k+t+v = 470
k-3v = 0
t-v = 70

Row 2 - Row 1 → Row 2
k+t+v = 470
-t-4v = -470
t-v = 70

Row 3 + Row 2 → Row 3
k+t+v = 470
-t-4v = -470
-5v = -400


v = -400/-5 = 80
t = -470+4v/-1 = -470+4 · 80/-1 = 150
k = 470-t-v = 470-150-80 = 240

k = 240
t = 150
v = 80

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