Answer: [tex]6.9\ minutes[/tex]
Step-by-step explanation:
Let "x" represents the 16% of 43 minutes.
Once you analize the information given in the exercise, you can identify that 43 minutes is the 100%.
Then, with this data, you can set up the following proportion:
[tex]\frac{100}{43}=\frac{16}{x}[/tex]
Now you must solve for "x". The steps are:
- Multiply both sides of the equation by "x"
[tex](x)(\frac{100}{43})=(\frac{16}{x})(x)\\\\\frac{100x}{43}=16[/tex]
- Multiply both sides by 43:
[tex](43)(\frac{100x}{43})=(16)(43)\\\\100x=688[/tex]
- Divide both sides by 100:
[tex]\frac{100x}{100}=\frac{688}{100}\\\\x=6.88[/tex]
- Rounding to the tenths place:
[tex]x\approx6.9[/tex]
