31-Problemas envolvendo Misturas e Solu\303\247\303\265es Solu\303\247\303\243o de problemas envolve a mistura de duas quantidades para obter a quantidade esperada, aonde cada uma dessas quantidades \303\251 a solu\303\247\303\243o ou misturas contendo resistencias diferente de material n\303\243o entregue. Alguns exemplos s\303\243o as solu\303\247\303\265es de sal, solu\303\247\303\243o de \303\241lcool, solu\303\247\303\243o de \303\241cido, mistura de metais, etc ... Esses problemas s\303\243o parecidos com misturar problemas nessas duas quantidades que est\303\241 sendo misturado. A principal diferen\303\247a nessa mistura de problemas envolve raz\303\265es externas como pre\303\247o por quilo, enquanto solu\303\247\303\243o de problemas sempre envolve raz\303\243o internas.

restart; with(plots):

Warning, the name changecoords has been redefined

GraficoMistura := proc( a, ar, b, br) local c,ct,cr,g,as,bs,cs, spacer, bo, co, pa, pb, pc1, pc2, tp, te, r, ch; c := a + b; ct := a*ar + b*br; cr := ct/c; g := 1.6; as := sqrt( a/g); bs := sqrt( b/g); cs := sqrt( c/g); spacer := (as+bs+cs)/10; pa := polygonplot( [ [0,0],[as,0],[as,as*g],[0,as*g] ], color = gold, axes = none): bo := as + spacer; pb := polygonplot( [ [bo, 0],[bo+bs, 0],[bo+bs,bs*g],[bo,bs*g] ], color = green, axes = none): co := bo + spacer*1.5 + bs; r := a/(a+b); ch := r*cs*g; pc1 := polygonplot( [ [co,0],[co+cs,0],[co+cs,ch],[co,ch] ], color = gold, axes = none): pc2 := polygonplot( [ [co,ch],[co+cs,ch],[co+cs,cs*g],[co,cs*g] ], color = green, axes = none): tp := textplot( [ as + spacer/2, max(as,bs)*g/2, `+`]); te := textplot( [ bo + bs + spacer/2, max(as,bs)*g/2, `=`]); display( pa, pb, pc1, pc2, tp, te) end proc: Gr\303\241ficoSolu\303\247\303\243o := proc( a, ar, b, br) #||a amount|a rate|b amount|b rate|| local c,ct,cr,g,as,bs,cs,spacer,bo,co,pa1,pa2,pb1,pb2,pc1,pc2,tp,te,r,ch,h; c := a + b; ct := a*ar + b*br; cr := ct/c; g := 1.6; as := sqrt( a/g); bs := sqrt( b/g); cs := sqrt( c/g); spacer := (as+bs+cs)/10; h := ar*as*g; pa1 := polygonplot( [ [0,0],[as,0],[as,h],[0,h] ], color = orange, axes = none): pa2 := polygonplot( [ [0,h],[as,h],[as,as*g],[0,as*g] ], color = tan, axes = none): bo := as + spacer; h := br*bs*g; pb1 := polygonplot( [ [bo, 0],[bo+bs, 0],[bo+bs,h],[bo,h] ], color = orange, axes = none): pb2 := polygonplot( [ [bo, h],[bo+bs, h],[bo+bs,bs*g],[bo,bs*g] ], color = tan, axes = none): co := bo + spacer*1.5 + bs; h := cr*cs*g; pc1 := polygonplot( [ [co,0],[co+cs,0],[co+cs,h],[co,h] ], color = orange, axes = none): pc2 := polygonplot( [ [co,h],[co+cs,h],[co+cs,cs*g],[co,cs*g] ], color = tan, axes = none): tp := textplot( [ as + spacer/2, max(as,bs)*g/2, `+`]); te := textplot( [ bo + bs + spacer/2, max(as,bs)*g/2, `=`]); display(pa1,pa2, pb1, pb2, pc1, pc2, tp, te) end proc: TabelaTestadaMistura := proc( a, ar, b, br ) # a = quanity of a, ar = a's rate, and so forth for b local rt, M ; rt := (a*ar + b*br)/(a+b); if( not( (whattype(rt) = integer) or (whattype(rt) = float) or (whattype(rt) = fraction) )) then rt := `?` fi; array( [ [``, `Quantidade *`,` Raz\303\243o`,` = Resultado`], [ `A`, a, ar, a*ar], [ `B`, b, br, b*br], [ `A+B `, a+b, rt, a*ar + b*br] ]); end proc: MixtureTable1 := proc( a, ar, b, br, cr ) # a = quanity of a, ar = a's rate, and so forth for b local rt, M, equation; rt := (a*ar + b*br)/(a+b); if( not( (whattype(rt) = integer) or (whattype(rt) = float) or (whattype(rt) = fraction) )) then rt := `?` fi; M := array( [ [``, `Quantidade *`,` Raz\303\243o`,` = Resultado`], [ `A`, a, ar, a*ar], [ `B`, b, br, b*br], [ `A+B `, a+b, cr, (a+b)*cr] ]); print(M); print(` `): equation := M[2,4] + M[3,4] = M[4,4]; print( equation ); solve( equation, x); print(x = %); end proc: TabelaEqMistura := proc( ar, br, cr, c) #||a rate|b rate|c rate|c amount|| local a, b, rt, M, equation; rt := cr ; #(a*ar + b*br)/(a+b); a := x; b := c-a; M := array( [ [``, `Quantidade *`, ` Raz\303\243o`,` = Resultado`], [ `A`, a, ar, a*ar ], [ `B`, b, br, (c-a)*br ], [ `A+B `, c, cr, c*cr ] ]); print(M); print(` `): equation := M[2,4] + M[3,4] = M[4,4]; print( equation ); solve( equation, x); print(` `); print(A = %, B = c-%); print(` `); end proc: TabelaSobreMistura := proc( ar, br, cr, c) #||a rate|b rate|c rate|c amount|| local a, rt, M, equation; rt := cr ; #(a*ar + b*br)/(a+b); a := solve( x*ar + (c-x)*br = c*cr, x); array( [ [``, `Quantidade *`, ` Raz\303\243o`,` = Resultado`], [ `A`, a, ar, a*ar ], [ `B`, c-a, br, (c-a)*br ], [ `A+B `, c, cr, c*cr ] ]); end proc:

Resolu\303\247\303\243o de problemas sempre envolve alguns componentes de quantias maiores. Quando voc\303\252 adiciona duas quantidades com diferentes comprimentos, qual \303\251 o resultado e o comprimento do resultado? Vamos obter uma id\303\251ia imprecisa do que est\303\241 acontecendo. __________________________________________________________________________________________________ Problema 1.1 : Voc\303\252 combina 12 gal\303\265es com 15% de solu\303\247\303\243o \303\241cida com 34 gal\303\265es com 22% de solu\303\247\303\243o \303\241cida . 1. Quantos gal\303\265es h\303\241 na mistura ? 2. Qual \303\251 o total de \303\241cido na mistura ? 3. Qual \303\251 a quantidade de \303\241cido na mistura ? `N\303\272mero total de gal\303\265es` := 12 + 34; `Total somado de \303\241cido ` := 12*.15 + 34*.22; `Porcetagem de \303\241cido na mistura` = evalf( %/ %%, 5);

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Aqui \303\251 o diagrama que mostra o que est\303\241 acontecendo. A parte vermelha em baixo \303\251 o \303\241cido. Note que a quantidade de \303\241cido deixado nos dois cointainers \303\240 esquerda \303\251 igual \303\240 quantidade do containers \303\240 direita. ( Isto pode parecer maior porque o container da direita \303\251 mais largo que os outros dois containers \303\240 esquerda. ) Gr\303\241ficoSolu\303\247\303\243o( 12, .15, 34, .22 );

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_________________________________________________________________________________________________ Problema 1.2 : Voc\303\252 combina 100 gal\303\265es com 10% de solu\303\247\303\243o \303\241cida com 5 gal\303\265es com 80% de solu\303\247\303\243o \303\241cida. Gr\303\241ficoSolu\303\247\303\243o( 100, .10, 5, .80 );

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

__________________________________________________________________________________________________ Problema 1.3 : 20 Kg com 13% de mistura de tit\303\242nio e 34 Kg com 60% de mistura de tit\303\242nio s\303\243o derretidas e misturas juntas para formar um novo material. Qual \303\251 a concentra\303\247\303\243o de tit\303\242nio na mistura resultante ? Gr\303\241ficoSolu\303\247\303\243o( 20, .13, 34, .60 );

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NiI=

Problema 2.1 : Quantos quartos de uma solu\303\247\303\243o que \303\251 3% de sal deveria ser adicionada a 30 quartos de uma solu\303\247\303\243o de 9% de sal para obter uma solu\303\247\303\243o de 7% ? MixtureTable1( x, .03, 30, .09, .07); #||a amount|a rate|b amount|b rate|c rate||

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NiMlIn5HNiMvLCYqJiQiIiQhIiMiIiIlInhHIiIiIiIiJCIkcSMhIiMiIiIsJiomJCIiKCEiIyIiIiUieEciIiIiIiIkIiQ1IyEiIyIiIg==NiMvJSJ4RyQiIzoiIiE=

Vamos ver a figura do que est\303\241 acontecendo Gr\303\241ficoSolu\303\247\303\243o( 15, .03, 30, .09 ); #||a amount||a rate|b amount|b rate||

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NiI=

__________________________________________________________________________________________________ Problema 2.2 :Quantos litros de suco de laranja puro devem ser adicionados a 12 litros de uma por\303\247\303\243o com 10% de alcool para que se prepare um coquetel com 3% de alccol? (Sugest\303\243o : Suco de laranja puro, n\303\243o contem alcool e deve concentrar uma solu\303\247\303\243o de alccol a 0%); MixtureTable1( x, 0, 12, .10, .02); #||a amount|a rate|b amount|b rate|c rate|| rate;

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

Gr\303\241ficoSolu\303\247\303\243o( 48, 0, 12, .10); #||a amount||a rate|b amount|b rate||

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NiI=

Problema 3.1 : Quantos litros de uma solu\303\247\303\243o com 40% de alcool com outra solu\303\247\303\243o B em 8% ? TabelaEqMistura( .42, .08, .25, 30); #||a rate|b rate|c rate|c amount||

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NiMlIn5HNiMvLCYqJiQiI00hIiMiIiIlInhHIiIiIiIiJCIkUyMhIiMiIiIkIiRdKCEiIw==NiMlIn5HNiQvJSJBRyQiIzoiIiEvJSJCR0YlNiMlIn5H

Aqui est\303\241 uma visualiza\303\247\303\243o de uma solu\303\247\303\243o completa. TabelaSobreMistura( .42, .08, .25, 30);

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

Gr\303\241ficoSolu\303\247\303\243o( 15, .42, 15, .08); #||a amount||a rate|b amount|b rate||

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Ig==

__________________________________________________________________________________________________ Problema 3.2 : Quantos quilogramas de uma barra de alum\303\255nio 90% devem ser derretidas com alum\303\255nio a 70% para criar 200 kg de uma liga de 82%? TabelaEqMistura( .90, .70, .82, 200); #||a rate|b rate|c rate|c amount||

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NiMlIn5HNiMvLCYqJiQiIz8hIiMiIiIlInhHIiIiIiIiJCImK1MiISIjIiIiJCImK2siISIjNiMlIn5HNiQvJSJBRyQiJD8iIiIhLyUiQkckIiMhKUYnNiMlIn5H

Aqui est\303\241 uma visualiza\303\247\303\243o da situa\303\247\303\243o completa. TabelaSobreMistura( .90, .70, .82, 200); #||a rate|b rate|c rate|c amount||

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

Gr\303\241ficoSolu\303\247\303\243o( 120, .70, 80, .82); #||a amount||a rate|b amount|b rate||

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