The given information is:
- The students complete 30% of the project in 12 hours.
To find how many hours they will need to finish the project we need to apply ratios, as follows:
[tex]\begin{gathered} \frac{30\%\text{ of the project}}{made\text{ in 12 hours}}=\frac{100\%}{how\text{ many hours will it take?}} \\ \\ \frac{30}{12}=\frac{100}{x} \\ \\ Let^{\prime}s\text{ solve for x:} \\ Multiply\text{ both sides by x:} \\ x*\frac{30}{12}=\frac{100}{x}*x \\ \\ Simplify \\ x*\frac{30}{12}=100 \\ \\ Multiply\text{ both sides by 12/30} \\ x*\frac{30}{12}*\frac{12}{30}=100*\frac{12}{30} \\ \\ Simplify \\ x=\frac{100*12}{30} \\ \\ x=\frac{1200}{30} \\ \\ x=40\text{ hours} \end{gathered}[/tex]
The answer is 40 hours.
