biết 01/01/1990 là thứ 7.Hỏi ngày 31/12/2017 là thứ mấy
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Câu 1:
Gọi số tiền bốn người nhận được lần lượt là a,b,c,d
Theo đề, ta có: \(\left\{{}\begin{matrix}\dfrac{a}{2}=\dfrac{b}{3}\\\dfrac{b}{4}=\dfrac{c}{5}\\\dfrac{c}{6}=\dfrac{d}{7}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{a}{8}=\dfrac{b}{12}=\dfrac{c}{15}\\\dfrac{c}{6}=\dfrac{d}{7}\end{matrix}\right.\Leftrightarrow\dfrac{a}{16}=\dfrac{b}{24}=\dfrac{c}{30}=\dfrac{d}{35}\)
Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
\(\dfrac{a}{16}=\dfrac{b}{24}=\dfrac{c}{30}=\dfrac{d}{35}=\dfrac{a+b+c+d}{16+24+30+35}=\dfrac{5200000}{105}=50000\)
Do đó: a=800000; b=1200000; c=1500000; d=1750000