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Imparte numarul 7000 in patru parti direct proprtionale cu numerele 88, 150, 200, respectiv 262

Răspuns :

{a,b,c,d} d.p.{88,150,200,262}
a+b+c+d=7000
[tex] \frac{a}{88}= \frac{b}{150} = \frac{c}{200} = \frac{d}{262} = \frac{a+b+c+d}{88+150+200+262} = \frac{7000}{700} =10[/tex]
[tex] \frac{a}{88} =10[/tex]
a=88*10=880
[tex] \frac{b}{150} =10[/tex]
b=150*10=1500
[tex] \frac{c}{200} =10[/tex]
c=200*10=2000
[tex] \frac{d}{262} =10[/tex]
d=262*10=2620