Question

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The price of a packet of buns is 12 more than the cost of a loaf of bread. Pooja buys a loaf of bread and 2 packets of buns. She paid 63rs to the shopkeeper. Find Cost of both, the loaf of bread, and each packet of buns?




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Answer 1

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀★ઽυקεr みεrσ★

$\huge\bold\star\purple{ Given:-}$

ᴛʜᴇ ᴘʀɪᴄᴇ ᴏғ ᴀ ᴘᴀᴄᴋᴇᴛ ᴏғ ʙᴜɴs ɪs 12 ᴍᴏʀᴇ ᴛʜᴀɴ ᴛʜᴇ ᴄᴏsᴛ ᴏғ ᴀ ʟᴏᴀғ ᴏғ ʙʀᴇᴀᴅ. ᴘᴏᴏᴊᴀ ʙᴜʏs ᴀ ʟᴏᴀғ ᴏғ ʙʀᴇᴀᴅ ᴀɴᴅ 2 ᴘᴀᴄᴋᴇᴛs ᴏғ ʙᴜɴs. sʜᴇ ᴘᴀɪᴅ 63 ᴛᴏ ᴛʜᴇ sʜᴏᴘᴋᴇᴇᴘᴇʀ.

$\huge\bold\star\blue{Find :-}$

ᴄᴏsᴛ ᴏғ ʟᴏᴀғ ᴏғ ʙʀᴇᴀᴅ ᴀɴᴅ ᴇᴀᴄʜ ᴘᴀᴄᴋᴇᴛ ᴏғ ʙᴜɴs?

$\huge\bold\star\green{ Answer:-}$

ʟᴇᴛ ᴀssᴜᴍᴇ ᴛʜᴇ ʟᴏᴀғ ᴏғ ʙʀᴇᴀᴅ ɪs ʀs. x ᴀɴᴅ ᴡᴇ ᴋɴᴏᴡ ᴘʀɪᴄᴇ ᴏғ ᴀ ᴘᴀᴄᴋᴇᴛ ᴏғ ʙᴜɴs ɪs 12 ᴍᴏʀᴇ ᴛʜᴀɴ ᴛʜᴇ ᴄᴏsᴛ ᴏғ ᴀ ʟᴏᴀғ ᴏғ ʙʀᴇᴀᴅ sᴏ ᴡᴇ ᴀssᴜᴍᴇ ɪᴛ ʀs. ( x + 12 )

ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ᴘᴏᴏᴊᴀ ʙᴜʏs ᴏɴᴇ ʟᴏᴀғ ᴏғ ʙʀᴇᴀᴅ ᴀɴᴅ 2 ᴘᴀᴄᴋᴇᴛs ᴏғ ʙᴜɴs , sᴏ ᴄᴏsᴛ ᴏғ ɪᴛᴇᴍs ɪs :-

$➜ x + 2(x + 12)$

$➜x + 2x = 24$

$➜3x + 24$

$➜3(x + 8)$

ᴡᴇ ᴋɴᴏᴡ sʜᴇ ɢᴀᴠᴇ ʀs. 63 ᴛᴏ sʜᴏᴘᴋᴇᴇᴘᴇʀ, ɴᴏᴡ ᴡᴇ ғɪɴᴅ ᴛʜᴇ ᴄᴏsᴛ :-

$➜3(x + 8) = 63$

$➜x + 8 = 21$

$➜x = 21 - 8$

$➜\boxed {x = 13 }$

ʟᴏᴀғ ᴏғ ʙʀᴇᴀᴅ ᴄᴏsᴛ ɪs ʀs. 13 ᴀɴᴅ ᴛʜᴇ ᴄᴏsᴛ ᴏғ ᴛᴡᴏ ʙᴜɴs ɪs :-

$➜x + 12$

$➜13+12$

$➜\boxed{25}$

sᴏ, ʟᴏᴀғ ᴏғ ʙʀᴇᴀᴅ ᴄᴏsᴛ ɪs ʀs. 13 ᴀɴᴅ ᴛʜᴇ ᴄᴏsᴛ ᴏғ ᴛᴡᴏ ᴘᴀᴄᴋᴇᴛ ᴏғ ʙᴜɴs ɪs ʀs. 25.

$\large\mathcal\red{\underline{\overline{\mid{\blue{Verification}}\mid}}}$

ᴏɴ sᴜʙsᴛɪᴛᴜᴛɪɴɢ ᴛʜᴇ ғɪɴᴅɪɴɢ ᴄᴏsᴛ :-

$➜13 + 2(25) = 63$

$➜13 + 50 = 63$

$➜63 = 63$

⠀⠀⠀⠀⠀⠀⠀⠀ʟʜs ≈ ʀʜs

⠀⠀⠀⠀ʜᴇɴᴄᴇ, ɪᴛ's ᴘʀᴏᴠᴇᴅ.

Answer 2

Given :-

• The price of a packet of buns is 12 more than the cost of a loaf of bread.
• Pooja buys a loaf of bread and 2 packets of buns. She paid 63rs to the shopkeeper.

To Find :-

• Find Cost of both, the loaf of bread, and each packet of buns?

Solution :-

Lets consider the cost of a loaf of bread be Rs " x "

Then from given we know,

The price of a packet of buns is 12 more than the cost of a loaf of bread$.$

So,

The packet of buns will cost 12 more or Rs. ( x + 12 )

Then, Pooja buys a loaf of bread and 2 packets of buns.

So , making equation :-

⇒ x + 2( x + 12)

⇒ x + 2x + 24

⇒ 3x + 24

⇒ 3 ( x + 8) .........(1)

This is the total cost in equation form.

Total money she paid = Rs. 63

Now, from (1) eqn.

⇒ 3 ( x + 8) = 63

⇒ x + 8 = 21

⇒ x = 21 - 8 = 13

⇒ x + 12 = 25 .

⇒ x = 13

Therefore,

The cost of the loaf of bread is ' x ' = Rs. 13

The cost of a packet of buns is ( x + 12 ) = Rs 25

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