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Sagot :
Given:
Total number of students = 238
Let the number of passing students be x
We're given that 6 times the number of students passed as failed. Hence, the number of students:
[tex]=\text{ }\frac{x}{6}[/tex]Hence, we can write:
[tex]\begin{gathered} x\text{ + }\frac{x}{6}\text{ = 238} \\ \frac{6x\text{ + x}}{6}\text{ = 238} \end{gathered}[/tex]Solving for x:
[tex]\begin{gathered} \text{Cross}-\text{Multiply} \\ 7x\text{ = 238 }\times\text{ 6} \\ 7x\text{ = 1428} \\ \text{Divide both sides by 7} \\ x\text{ = 204} \end{gathered}[/tex]Hence the number of passing students is 204 students
We can find the number of failing students by subtraction:
[tex]\begin{gathered} \text{Number of failing students = 238 - 204} \\ =\text{ 34} \end{gathered}[/tex]Answer:
Passing students: 204
Failing students: 34
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