Exercício de fração (6 ano EF)
Exercício:
1)Da quantia que recebo mensalmente,aplico 3/7 em caderneta de poupança,o que corresponde a uma aplicação de R$ 360,00.Qual é a quantia que recebo mensalmente?
2)Numa festa de aniversário,compareceram 3/5 dos convidados.Determine o número de convidados sabendo que faltaram 74 pessoas.
3)Num estacionamento há 52 veículos,entre automóveis e motos.São 134 rodas.Quantas são as motos?
4)Gastei 1/5 do meu salário com alimentação e 3/4 do que sobrou com as demais despesas.Restaram-me ainda R$160,00.Qual é o meu salário?
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Meio mandão, hein?
1) Se X é o salário total do mês, 3.x/7=360, logo 3.x=360.7, e então x=360.7/3.
X=840 reais.
2) X é o total de convidados, se apareceram 3/5, faltaram 2/5, que foram 74 pessoas. Logo 2.X/5=74, vai resolvendo e se tem:
2X=74.5
X=370/2
X=185 convidados.
3)X é o número de carros e Y, o de motos.
Cada moto tem 2 rodas, logo 2Y, e cada carro tem 4 rodas, logo 4X.
Se faz um sistema:
{2y + 4x = 134 e x + y = 52
Isola um dos valores, como y, na equação mais fácil:
y = 52 – x
Se substitui na outra equação:
2y+4x=134
2(52-x)+4x=134
104-2x+4x=134
104+2x=134
2X=30
X=15 carros, logo são 52-15, 37 motos
4) Se gastou 1/5 e 3/5, gastou 4/5, restando 1/5 apenas, que são os 160 reais.
Como nas duas primeiras:
1.x/5=160
x=800 reais de salário.
Boa sorte, da próxima não deixe para última hora.
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