question_answer 2)

In a computer lab, there are 3 computers for every 6 students. How many computers will be needed for 24 students?

Answer:

                Let \[x\] computers be needed for 24 students. Then,       \[3:x=6:24\] \[\Rightarrow \]               \[\frac{3}{x}=\frac{6}{24}\] \[\Rightarrow \]               \[6x=24\times 3\] \[\Rightarrow \]                               \[6x=72\] \[\Rightarrow \]                               \[x=\frac{72}{6}\] \[\Rightarrow \]                               \[x=12\] Hence, 12 computers will be needed for 24 students. Aliter: \[\because \]     For every 6 students are there \[=\text{3}\] computers \[\therefore \]  For 1 student is there \[=\frac{3}{6}\] computer \[\therefore \]  For 24 students are there \[=\frac{3}{6}\times 24\] computers = 12 computer Hence, 12 computers are needed for 24 students.