If 45% of A is 4 1/5 of B, then B is what percent of A?

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If 45% of A is 4 1/5 of B, then B is what percent of A?

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Answer 1 · 2018-01-14T01:27:10

Around 10.7%

Explanation:

$45 % = \frac{9}{20}$ $45%=9/20$ and $4 \frac{1}{5} = \frac{21}{5}$ $4 1/5=21/5$

We can put this into an equation...
$\frac{9}{20} A = \frac{21}{5} B$ $9/20A=21/5B$
$B = \frac{\frac{9}{20} A}{\frac{21}{5}}$ $B=(9/20A)/(21/5)$
$B = \frac{3}{28} A$ $B=3/28A$
$B \approx 10.7 % \cdot A$ $B≈10.7%*A$ (3s.f.)

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If 45% of A is 4 1/5 of B, then B is what percent of A?

1 Answer

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