Short-sleeved 82474

A customer was buying three shirts. First, he chose a white one, then a sports one, which was 32 Sk more expensive than a white one, and finally, a short-sleeved shirt, which was 27 Sk cheaper than a white shirt. How many crowns did the individual shirts cost when he paid a total of 449 CZK?

Correct answer:

a =  148
b =  180
c =  121

Step-by-step explanation:


a+b+c=449
b = 32+a
c = a-27

a+b+c = 449
a-b = -32
a-c = 27

Row 2 - Row 1 → Row 2
a+b+c = 449
-2b-c = -481
a-c = 27

Row 3 - Row 1 → Row 3
a+b+c = 449
-2b-c = -481
-b-2c = -422

Row 3 - -1/-2 · Row 2 → Row 3
a+b+c = 449
-2b-c = -481
-1.5c = -181.5


c = -181.5/-1.5 = 121
b = -481+c/-2 = -481+121/-2 = 180
a = 449-b-c = 449-180-121 = 148

a = 148
b = 180
c = 121

Our linear equations calculator calculates it.



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