Siblings

Three siblings had saved up a total of 1,274 CZK. Peter had saved up to 15% more than Jirka and Hanka, 10% less than Peter. How much money did they save for each one of them?

Correct answer:

h =  414
j =  400
p =  460

Step-by-step explanation:


p+h+j=1274
p = 1.15 j
h = 0.90 p

p+h+j=1274
p = 1.15·j
h = 0.90·p

h+j+p = 1274
1.15j-p = 0
h-0.9p = 0

Row 3 - Row 1 → Row 3
h+j+p = 1274
1.15j-p = 0
-j-1.9p = -1274

Row 3 - -1/1.15 · Row 2 → Row 3
h+j+p = 1274
1.15j-p = 0
-2.77p = -1274


p = -1274/-2.76956522 = 460
j = 0+p/1.15 = 0+460/1.15 = 400
h = 1274-j-p = 1274-400-460 = 414

h = 414
j = 400
p = 460

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