Tìm \(x\) biết: \(\left( {\frac{{15}}{{10}}x + 25} \right):\frac{2}{3} = 60\)

Câu hỏi :

Tìm \(x\) biết: \(\left( {\frac{{15}}{{10}}x + 25} \right):\frac{2}{3} = 60\) 

A. \(x=-1\) 

B. \(x=1\) 

C. \(x=8\) 

D. \(x=10\) 

* Đáp án

D

* Hướng dẫn giải

\(\begin{array}{l}\,\left( {\frac{{15}}{{10}}x + 25} \right):\frac{2}{3} = 60\\\,\,\,\,\,\,\left( {\frac{3}{2}x + 25} \right):\frac{2}{3} = 60\\\,\,\,\,\,\,\,\,\frac{3}{2}x + 25\,\,\,\,\,\,\,\,\,\, = 60.\frac{2}{3}\\\,\,\,\,\,\,\,\,\frac{3}{2}x + 25\,\,\,\,\,\,\,\,\,\, = 40\\\,\,\,\,\,\,\,\,\frac{3}{2}x\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 40 - 25\\\,\,\,\,\,\,\,\,\frac{3}{2}x\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 15\\\,\,\,\,\,\,\,x\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 15:\frac{3}{2}\\\,\,\,\,\,\,\,x\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\,\,\,\end{array}\)

Chọn D

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