Question

Please help to solve the question​

Answer 1

☃
`\: \: \: \: \: \: \: \: \red{ \underline{ \large{ \blue{ \tt{ ꧁ \: A \: N \: S \: W \: E \:R ꧂}}}}}`

✧
`\large\tt{Step \: - \: By \: - \: Step \: Explanation} :`

Let the total number of students who failed in SLC be n ( U ) , number of students failed in science only be n ( only S ) , number of students failed in mathematics only be n ( only M ) , number of students who failed in both subjects be n ( M ∩ S ) and number of students who failed in other subjects be
`\tt{n( \overline{s \: ∪ \: m})}`.

❀
`\underline{ \underline{ \large{ \tt{ \: G \: I\: V \: E \: N}}}} :`

↳
`\large{ \tt{n(u) = 20 \: \% \:of \: 115000 = \red{ \underline{23000}}}}`

↳
`\large{ \tt{ n_(0)(s) = 40\% \: of \: 23000 = \red{ \underline{9200}}}}`

↳
`\large{ \tt{ n_(o)(m) = 35\% \: of \: 23000 = \red {\underline{8050}}}}`

↳
`\large{ \tt{n( \overline{s \:∪ \: m) }= 5\% \: of \: 23000 = \red{ \underline{1150}}}}`

✎
`\underline{ \underline{ \large{ \tt{ \: S \: O \:L\: V \: I \: N\: G}}}} .....`

`\large {\tt{i. \: n(u) = n_(o)(s) + n_(o)(m) + n(s ∩ \: m) \: + n( \overline{s \:∪ \: m)} }}`

⟶
`\large{ \tt{23000 = 9200 + 8050 + n(s∩m) + 1150}}`

⟶
`\large \tt \: 23000 = 18400 + n(s ∩ m)`

⟶
`\large \tt \: 23000 - 18400 = n(s \:  ∩  \: m \: )`

⟶
`\large \boxed{ \tt {4600} = n(s ∩ m)}`

Therefore , 4600 students failed in both subjects.

`\large{ \sf{ii. \: Please \:see \: the \: attached \: picture \: for \: venn - diagram!}}`

☪ Hope I helped! ♡

♕ Have a wonderful day / night ! ツ

☆
`\underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}` !

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