Question

there are 36 students In a class. in mathematics test, 5/6 of the students passed the test. the same number of boys and girls field in the test. 4 by 9 of the students are girls. how many boys passed the test?​

Answer 1

${ \huge\fbox \pink {A}\fbox \blue {n} \fbox\purple {s} \fbox \green{w} \fbox \red {e} \fbox \orange {r}}$

ᴛᴏᴛᴀʟ ɴᴜᴍʙᴇʀ ᴏғ sᴛᴜᴅᴇɴᴛs = $36$

ɴᴜᴍʙᴇʀ ᴏғ sᴛᴜᴅᴇɴᴛs ᴡʜᴏ ᴘᴀssᴇᴅ= $\frac{5}{6} \times 36 = 30$

ɴᴜᴍʙᴇʀ ᴏғ ɢɪʀʟs= $\frac{4}{9} \times 36 = 16$

ɴᴜᴍʙᴇʀ ᴏғ ʙᴏʏs= $36–16 = 20$

ɴᴜᴍʙᴇʀ ᴏғ ɢɪʀʟs ᴡʜᴏ ғᴀɪʟᴇᴅ = ɴᴜᴍʙᴇʀ ᴏғ ʙᴏʏs ᴡʜᴏ ғᴀɪʟᴇᴅ= $\frac{6}{2} = 3$

ᴛʜᴇʀᴇғᴏʀᴇ, ɴᴜᴍʙᴇʀ ᴏғ ʙᴏʏs ᴡʜᴏ ᴘᴀssᴇᴅ = $20–3 = 17$