# Part-time workers

Three part-time workers received CZK 1,235 for their work. The first received 20% less than the second, and the third received 45 CZK more than the second. Determine how many crowns (CZK) each of them received.

a =  340
b =  425
c =  470

### Step-by-step explanation:

a+b+c=1235
a = b-0.20b
c = 45 + b

a+b+c=1235
a = b-0.20·b
c = 45 + b

a+b+c = 1235
a-0.8b = 0
b-c = -45

Row 2 - Row 1 → Row 2
a+b+c = 1235
-1.8b-c = -1235
b-c = -45

Row 3 - 1/-1.8 · Row 2 → Row 3
a+b+c = 1235
-1.8b-c = -1235
-1.556c = -731.111

c = -731.11111111/-1.55555556 = 470
b = -1235+c/-1.8 = -1235+470/-1.8 = 425
a = 1235-b-c = 1235-425-470 = 340

a = 340
b = 425
c = 470

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