A coin is flipped an unknown number of times and can land on either heads or tails.
It lands on tails 70 times.
If 44% of the time it landed on heads then it means that it landed on tails 56% of times. (100% - 44% = 56%)
So, 70 is 56% of the unknown number of times the coin was flipped.
So, we can write
[tex]56\%\: of\: x=70[/tex]Let us solve for x (the total number of times the coin was flipped)
[tex]\begin{gathered} 56\%\: of\: x=70 \\ \frac{56}{100}\: \cdot x=70 \\ 56x=70\cdot100 \\ x=\frac{70\cdot100}{56} \\ x=125 \end{gathered}[/tex]Therefore, the coin was flipped 125 times.
