Question

50% of 70 is x% more than 30% of 80. What is the value of x?

Answer 1

45.83

Explanation:

USATestprep

Answer 2

`p\%=(p)/(100)\\\50\%=(50)/(100)=(1)/(2)\\\\50\%\ of\ 70\to(1)/(2)\cdot70=35\\\\30\%=(30)/(100)=(3)/(10)\\\\30\%\ of\ 80\to dfrac{3}{10}cdot80=24`

`\begin{array}{ccc}24&-&100\%\\35&-&p\%\end{array}\ \ \ \ |\text{cross multiply}\\\\24p=35\cdot100\\\\24p=3500\ \ \ \ |:24\\\\p=(3500)/(24)\\\\p=(875)/(6)\\\\35\ is\ (875)/(6)\%\ of\ 24\\\\x\%=(875)/(6)\%-100\%=(875)/(6)\%-(600)/(6)\%=(275)/(6)\%=45(5)/(6)\%\approx46\%`