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How do you solve 0.37(28+62.7k)=56.758?

1 Answer

Aug 7, 2015

$0.37 (28 + 62.7 k) = 56.758$ $0.37(28+62.7k)=56.758$
$XXXX$ $color(white)("XXXX")$ $XXXX$ $color(white)("XXXX")$ $\Rightarrow k = 2$ $rArr k = 2$

Explanation:

$0.37 (28 + 62.7 k) = 56.758$ $0.37(28+62.7k)=56.758$

Distribute the multiplication on the left side:
$XXXX$ $color(white)("XXXX")$ $(0.37) (28) + (0.37) (62.7 k) = 56.758$ $(0.37)(28)+(0.37)(62.7k) = 56.758$

Subtract $(0.37) \cdot (28)$ $(0.37)*(28)$ from both sides:
$XXXX$ $color(white)("XXXX")$ $(0.37) (62.7) k = 56.758 - (0.37) (28)$ $(0.37)(62.7)k = 56.758 - (0.37)(28)$

Divide both sides by $(0.37) \cdot (62.7)$ $(0.37)*(62.7)$
$XXXX$ $color(white)("XXXX")$ $k = \frac{56.758 - (0.37) (28)}{(0.37) (62.7)}$ $k = (56.758 - (0.37)(28))/((0.37)(62.7))$

Give thanks to the universe for causing the calculators to exist

$XXXX$ $color(white)("XXXX")$ $k = 2$ $k = 2$

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