Question

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

Answer 1

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

$<marquee direction="left"></strong><strong>Sᴏ</strong><strong> </strong><strong>,</strong><strong> </strong><strong>4</strong><strong> </strong><strong>ɢʟᴀssᴇs</strong><strong> </strong><strong>ᴄᴀɴ</strong><strong> </strong><strong>ʙᴇ</strong><strong> </strong><strong>ғɪʟʟᴇᴅ</strong><strong> </strong><strong>ʙʏ</strong><strong> </strong><strong>2</strong><strong>/</strong><strong>3</strong><strong> </strong><strong>ᴛʜᴇ</strong><strong> </strong><strong>ᴠᴏʟᴜᴍᴇ</strong><strong> </strong><strong>ᴏғ</strong><strong> </strong><strong>ᴛʜᴇ</strong><strong> </strong><strong>ᴊᴜɢ</strong><strong>.</strong><strong>$