Question

In an examination 3%oftotal student fail in hand, 45% fail in English and 20%in both what percentage of student passed

Answer 1

hello ☺

BTW... your question must be :-

In an examination 35%oftotal student fail in hand, 45% fail in English and 20%in both what percentage of student passed.....

➖

➖

ᏞᎬᏆ's bᎬᎶᎥᏁ bᎽ l ᏆhᎬ % fᎪᎥᏞᎬᎠ fᎾᏒ ᎬᎪᏟh subjᎬᏟᏆ ᎪᏞᎾᏁᎬ

% fᎪᎥᏞᎬᎠ ᎥᏁ bᎾᏆh subjᎬᏟᏆs):

    % fᎪᎥᏞᎬᎠ hᎥᏁᎠᎥ ᎪᏞᎾᏁᎬ = 35% - 20% = 15%

    % fᎪᎥᏞᎬᎠ ᎬᏁᎶᏞᎥsh ᎪᏞᎾᏁᎬ = 45% - 20% = 25%

ᴛᴏᴛᴀʟ % ғᴀɪʟᴇᴅ ғᴏʀ ʙᴏᴛʜ sᴜʙᴊᴇᴄᴛs
(sᴜᴍ ᴏғ % ғᴀɪʟᴇᴅ ғᴏʀ ᴇᴀᴄʜ sᴜʙᴊᴇᴄᴛ ᴀʟᴏɴᴇ):

    ᴛᴏᴛᴀʟ % ғᴀɪʟᴇᴅ = 15% + 25% = 40%

ᴛᴏᴛᴀʟ % ᴘᴀssᴇᴅ ғᴏʀ ʙᴏᴛʜ sᴜʙᴊᴇᴄᴛs (100% - ᴛᴏᴛᴀʟ % ғᴀɪʟᴇᴅ):

    ᴛᴏᴛᴀʟ % ᴘᴀssᴇᴅ = 100% - 40 % = 60%

ɴᴇxᴛ, ʟᴇᴛ's ᴅᴇᴛᴇʀᴍɪɴᴇ ᴛʜᴇ ᴛᴏᴛᴀʟ % ᴘᴀssᴇᴅ ɪɴ ᴇᴀᴄʜ sᴜʙᴊᴇᴄᴛ (100% - ᴛᴏᴛᴀʟ % ғᴀɪʟᴇᴅ ɪɴ ᴇᴀᴄʜ sᴜʙᴊᴇᴄᴛ):

    ᴛᴏᴛᴀʟ % ᴘᴀssᴇᴅ ʜɪɴᴅɪ = 100% - 35% = 65%

    ᴛᴏᴛᴀʟ % ᴘᴀssᴇᴅ ᴇɴɢʟɪsʜ = 100% - 45% = 55%

ɴᴏᴡ ᴡᴇ ᴄᴀɴ ᴡʀɪᴛᴇ ᴀɴ ᴇǫᴜᴀᴛɪᴏɴ ᴛᴏ sᴏʟᴠᴇ ғᴏʀ % ᴘᴀssᴇᴅ ɪɴ ʙᴏᴛʜ sᴜʙᴊᴇᴄᴛs (sᴜᴍ ᴏғ ᴛᴏᴛᴀʟ % ᴘᴀssᴇᴅ ɪɴ ᴇᴀᴄʜ sᴜʙᴊᴇᴄᴛ - % ᴘᴀssᴇᴅ ɪɴ ʙᴏᴛʜ sᴜʙᴊᴇᴄᴛs (x) = ᴛᴏᴛᴀʟ % ᴘᴀssᴇᴅ ғᴏʀ ʙᴏᴛʜ sᴜʙᴊᴇᴄᴛs):

    (65% - x) + (55% - x) = 60%

    120% - 2x = 60%

    2x = 120% - 60%

    2x = 60%

    x = 60%/2

    x = 30%



╲╲╭━━━━╮╲╲
╭╮┃▆┈┈▆┃╭╮
┃╰┫▽▽▽┣╯┃
╰━┫△△△┣━╯
╲╲┃┈┈┈┈┃╲╲
╲╲┃┈┏┓┈┃╲╲
▔▔╰━╯╰━╯▔▔