Question

A box of 150 packets consists of 1kg packets and 2kg packets. total weight of box is 264kg. how many 2kg packets are there ?

Answer 1

Hey mate!!

HOPE THIS WOULD HELP YOU

Let x denote the number of 1-kg packets and y denote the number of 2-kg packets. 

Since there are 150 total packets in the box, we see that: 
x + y = 150. . . . . . . . . . . . . . . . . . . . . .(1) 

Then, since x 1-kg packets weigh x kg and y 2-kg packets weigh 2y kg, we see that the total weight of the box in terms of x and y is x + 2y. Then, since total weight of the box is 264 kg, we see that: 
x + 2y = 264. . . . . . . . . . . . . . . . . . . . .(2) 

By subtracting (1) from (2), we get: 
(x + 2y) - (x + y) = 264 - 150 ==> y = 114. 

Therefore, there are 114 2-kg packets in the box and the answer is 114kg

I hope this helps!

Answer 2

The number of 2 kg packets are = 114

Given :

• A box of 150 packets consists of 1 kg packets and 2 kg packets.

• Total weight of box is 264 kg.

To find :

The number of 2 kg packets

Solution :

Step 1 of 2 :

Form the equation

Let number of 1 kg packets = n

Since there are 150 packets in the box

∴ Number of 2 kg packets = 150 - n

By the given condition

$\displaystyle \sf (n \times 1) +(150 - n) \times 2 = 264$

Step 2 of 2 :

Calculate number of 2 kg packets

$\displaystyle \sf (n \times 1) +(150 - n) \times 2 = 264$

$\displaystyle \sf{ \implies }n + 300 - 2n = 264$

$\displaystyle \sf{ \implies }300 - n = 264$

$\displaystyle \sf{ \implies }n = 300 - 264$

$\displaystyle \sf{ \implies }n = 36$

Number of 1 kg packets = 36

Number of 2 kg packets = 150 - 36 = 114

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