Question

A man buys 13.23 kg of one type of rice for 30 per kg and 15.45 kg of another type of rice for 67.99 per kg. If he mixes them and makes packets, each containing 3,450 g of rice, how many such packets of rice are there and what is the cost of each packet?​ ​

Answer 1

Given:

• Weight of type 1 rice = 13.23 kg
• Weight of type 2 rice = 15.45 kg

To find:

We have to find the number of packets and the cost of each packet.

Solution:

Total price of type 1 rice = 13.23 x 30

=> ₹396.90

Total price of type 2 rice = 15.45 x 67.99

=> ₹1,050.4455

Total weight of rice after mixing type 1 and type 2 rice = 13.23 + 15.45

= 28.68 kg

Now to make packets of mix rice each containing 3450 g or 3.45 kg of rice we have to divide total weight by weight of each packet.

Number of packets =

$\rm \implies{\dfrac{Total~weight}{Weight~of~each~packet} = \dfrac{28.68}{3.45} = \sf\color{pink}{8.31}}$

So, 8 packets can be packed weighing exactly 3.45 kg.

Now price of each packet can be calculated by dividing total price by number of packets.

Total price of type 1 and type 2 rice = Price of type 1 rice + Price of type 1 rice

= 396.90 + 1050.4455

= ₹1447.3455

Price of each packet =

$\rm \implies \dfrac{Total \: Price}{Number \: of \: packets} = \dfrac{1447.3455}{8} = \sf\color{pink}{\₹180.92}$

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HOPES IT HELPS UHH!:)

$\huge\pmb{(ʘᴗʘ✿)}$

Answer 2

Given :

Weight of type 1 rice = 13.23 kg

Weight of type 2 rice = 15.45 kg

To find :

We have to find the number of packets and the cost of each packet.

Solution:

Total price of type 1 rice = 13.23 x 30

=> ₹396.90

Total price of type 2 rice = 15.45 x 67.99

=> ₹1,050.4455

Total weight of rice after mixing type 1 and type 2 rice = 13.23 + 15.45

= 28.68 kg

Now to make packets of mix rice each containing 3450 g or 3.45 kg of rice we have to divide total weight by weight of each packet.

Number of packets =

$\rm\implies{\dfrac{Total~weight}{Weight~of~each~packet} = \dfrac{28.68}{3.45} = \sf{8.31}}$

So, 8 packets can be packed weighing exactly 3.45 kg.

Now price of each packet can be calculated by dividing total price by number of packets.

Total price of type 1 and type 2 rice = Price of type 1 rice + Price of type 1 rice

= 396.90 + 1050.4455

= ₹1447.3455

Price of each packet =

$\rm \implies \dfrac{Total \: Price}{Number \: of \: packets} = \dfrac{1447.3455}{8} = {\₹180.92}$