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:

j =  400 Kc
p =  460 Kc
h =  414 Kc

Step-by-step explanation:

r1​=100%+15%=1+10015​=1.15 r2​=100%−10%=1−10010​=0.9  p+h+j=1274 p = r1​⋅  j h = r2​⋅  p  r1​⋅  j+r2​⋅ p+j=1274  r1​⋅ j+r2​⋅ (r1​⋅ j)+j=1274 1.15⋅ j+0.9⋅ (1.15⋅ j)+j=1274  3.185j=1274  j=3.1851274​=400  j=400=400 Kc
p=r1​⋅ j=1.15⋅ 400=460 Kc
h=r2​⋅ p=0.9⋅ 460=414 Kc

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