Question

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

Answer 1

24 is 0.75% of 3,200

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\%=(p)/(100)\to0.75\%=(0.75)/(100)=(0.75\cdot100)/((100)(100))=(75)/(10000)=(75:25)/(10000:25)=(3)/(400)\\\\0.75\%\ of\ x\ is\ equal\ to\ 24\\\\(3)/(400)x=24\qquad\text{multiply both sides by 400}\\\\3x=9600\qquad\text{divide both sides by 3}\\x=3200`