If \( \Large 47.2506=4A+7B+2C+\frac{5}{D}+6E \), then the value of \( \Large 5A+3B+6C+D+3E \) is
Correct Answer: Description for Correct answer:
\( \Large 47.2506=4A+7B+2C+\frac{5}{D}+6E \)
\( \Large 47.2506=4 \times 10+7 \times 1+2 \times 0.10000+5 \times 0.0100+0 \) \( \Large +6 \times 0.0001 \)
Therefore,\( \Large A=10,\ B=1,\ C=0.1000,\ D=\frac{1}{\frac{1}{100}}=100,\ E=0.0001 \)
Therefore, 5A + 3B + 6C + D + 3E
= \( \Large 5 \times 10+3 \times 1+6 \times 0.1+100+3 \times 0.00001 \)
= 50 + 3 + 0.6 + 100 + 0.0003 = 153.6003
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