Resposta :
Resposta:
Explicação passo-a-passo:
1/6 + 1/3 + 1/8
mmc = 24
4/24 + 8/24 + 3/24 = 15/24
k = 4500/15 = 300
p1 = 4k = 1200
p2 = 8k = 2400
p3 = 3k = 900
Resposta:
[tex]a)~R\$~2.800,00\\\\b)R\$~4.200,00\\\\c)~R\$~5.600,00[/tex]
Explicação passo-a-passo:
[tex]Sejam~a,~b~e~c ~as~partes.\\\\a+b+c=R\$~12600,00\\\\\frac{a}{\frac{1}{6} } =\frac{b}{\frac{1}{4} }=\frac{c}{\frac{1}{3} }\\\\\frac{a+b+c}{\frac{2+3+4}{12} } =\frac{a}{\frac{1}{6} } \\\\\frac{12600}{\frac{9}{12} } =\frac{a}{\frac{1}{6} }\\\\\frac{9a}{12}=\frac{12600}{6}\\\\54a=12.12600\\\\54a=151200\\\\a=\frac{51200}{54}\\\\a= R\$~2.800,00[/tex][tex]\frac{12600}{\frac{9}{12} }=\frac{b}{\frac{1}{4} } \\\\\frac{9b}{12} =\frac{12600}{4}\\\\36b=12.12600\\\\36b=151200\\\\b=\frac{151200}{36}\\\\b=4200\\\\c=12600-2800-4200\\\\c=5600[/tex]