A jug is half full and exactly fills 3 glasses. How full must it be to

1.	A jug is half full and exactly fills 3 glasses. How full must it be to fill 4 glasses?
Answer» 2/3 ᴠᴏʟᴜᴍᴇ ᴏғ ᴛʜᴇ ᴊᴜɢ ᴄᴀɴ ғɪʟʟ 4 ɢʟᴀssᴇs. Exᴘʟᴀɴᴀᴛɪᴏɴ ɢɪᴠᴇɴ , 3 ɢʟᴀssᴇs ᴀɴᴅ ᴀ ᴊᴜɢ 3 ɢʟᴀssᴇs ᴄᴀɴ ʙᴇ ғɪʟʟᴇᴅ ʙʏ 1/2 ᴛʜᴇ ᴠᴏʟᴜᴍᴇ ᴏғ ᴛʜᴇ ᴊᴜɢ Sᴀʏ , ᴠᴏʟᴜᴍᴇ ᴏғ ᴛʜᴇ ᴊᴜɢ ɪs = ʏ Sᴏ, 3 ɢʟᴀssᴇs ғɪʟʟᴇᴅ ʙʏ = 1/2 ʏ 1 ɢʟᴀss ᴄᴀɴ ʙᴇ ғɪʟʟᴇᴅ ʙʏ = 1/2/3 ʏ 4 ɢʟᴀssᴇs ᴄᴀɴ ʙᴇ ғɪʟʟᴇᴅ ʙʏʙ= 1/2/3 ʏ X 4 = 1/2 x 1/3 x 4 x Y = 4/6 = 2/3 ʏ $Sᴏ , 4 ɢʟᴀssᴇs ᴄᴀɴ ʙᴇ ғɪʟʟᴇᴅ ʙʏ 2/3 ᴛʜᴇ ᴠᴏʟᴜᴍᴇ ᴏғ ᴛʜᴇ ᴊᴜɢ.$

A jug is half full and exactly fills 3 glasses. How full must it be to fill 4 glasses?

Answer»

2/3 ᴠᴏʟᴜᴍᴇ ᴏғ ᴛʜᴇ ᴊᴜɢ ᴄᴀɴ ғɪʟʟ 4 ɢʟᴀssᴇs.

ɢɪᴠᴇɴ ,

Sᴀʏ , ᴠᴏʟᴜᴍᴇ ᴏғ ᴛʜᴇ ᴊᴜɢ ɪs = ʏ

Sᴏ,

$Sᴏ , 4 ɢʟᴀssᴇs ᴄᴀɴ ʙᴇ ғɪʟʟᴇᴅ ʙʏ 2/3 ᴛʜᴇ ᴠᴏʟᴜᴍᴇ ᴏғ ᴛʜᴇ ᴊᴜɢ.$