Three friends 10

Three friends Peter, Tomáš and Jirka earned 4000 CZK working part-time. Peter earned three times more than Tomáš and Jirka earned 500 CZK more than Tomáš. How much did each of them earn?

Correct answer:

j =  1200
p =  2100
t =  700

Step-by-step explanation:


p+t+j=4000
p=3t
j=t+500

p+t+j=4000
p=3·t
j=t+500

j+p+t = 4000
p-3t = 0
j-t = 500

Row 3 - Row 1 → Row 3
j+p+t = 4000
p-3t = 0
-p-2t = -3500

Row 3 + Row 2 → Row 3
j+p+t = 4000
p-3t = 0
-5t = -3500


t = -3500/-5 = 700
p = 0+3t = 0+3 · 700 = 2100
j = 4000-p-t = 4000-2100-700 = 1200

j = 1200
p = 2100
t = 700

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