Question

Solve for base. Is anyone willing to help? Show the steps if you can.

Answer 1

Answer:

24 is 0.75% of 3,200

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\\begin{array}{ccc}24&-&0.75\%\\\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\\\0.75x=(24)(100)\\0.75x=2400\qquad\text{divide both sides by 0.75}\\x=3200$

$\bold{METHOD\ 2}\\\\x-\text{the number}\\\\p\%=\dfrac{p}{100}\to0.75\%=\dfrac{0.75}{100}=\dfrac{0.75\cdot100}{(100)(100)}=\dfrac{75}{10000}=\dfrac{75:25}{10000:25}=\dfrac{3}{400}\\\\0.75\%\ of\ x\ is\ equal\ to\ 24\\\\\dfrac{3}{400}x=24\qquad\text{multiply both sides by 400}\\\\3x=9600\qquad\text{divide both sides by 3}\\x=3200$