Children 39861

The parents have their 3 children at studies. They cost CZK 3,650 per month. Parents pay 350 CZK less per month for Libor than for Zdenek and 400 CZK more for Eva than for Zdenek. How many CZK per month will he pay for each of them?

Correct answer:

L =  850
Z =  1200
e =  1600

Step-by-step explanation:


L+Z+E=3650
L = Z-350
E = 400 + Z

L+Z+e=3650
L = Z-350
e = 400 + Z

L+Z+e = 3650
L-Z = -350
Z-e = -400

Row 2 - Row 1 → Row 2
L+Z+e = 3650
-2Z-e = -4000
Z-e = -400

Row 3 - 1/-2 · Row 2 → Row 3
L+Z+e = 3650
-2Z-e = -4000
-1.5e = -2400


e = -2400/-1.5 = 1600
Z = -4000+e/-2 = -4000+1600/-2 = 1200
L = 3650-Z-e = 3650-1200-1600 = 850

L = 850
Z = 1200
e = 1600

Our linear equations calculator calculates it.



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