a truck and small packages?

Question

A truck contains 150 small packages, some weighing 1 kg each and some weighing 2 kg each. how many packages weighing 2 kg each are in the truck if the total weight of all the packages is 264 kg?
(a) 36 (b) 52 (c) 88 (d) 124 (e) 114

need of steps plz

Answer 1

Alright,

Given there 150 packages
Let there be s no of small packages.
So, we have 150 - s of large packages.
Given 264 is the kgs
ie., sum of s small packages and 150 - s large packages is 264
=> s + (150 -s) 2 = 264
=> s + 300 - 2s = 264
=> s = 36
Therefore, the no of large packages are 150 -s = 150 - 36 = 114

So, (e) 114 is the answer.

Peace out.

Answer 2

Suppose all 150 packages were 1 kg. This would be short of the stated total weight by (264 - 150) = 114 kg. Each package you switch from 1 kg to 2 kg increases the total weight by 1 kg. To make up the shortage you started with, you need to switch 114 packages.

Answer 3

Let

x + y = weight of the small packages

x + 2y = weight of the larger packages

150 = total weight of the small packages

264 = total weight of the large packages

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x + y = 150 - - - - - - - - - - Equation 1
x + 2y = 264 - - - - - - - - --Equation 2

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y substitute equation 1

x + y = 150

x + y - x = 150 - x

y = 150 - x

insert the y value into equation 2

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Solving for x equation 2

x + 2y = 264

x + 2(150 - x) = 264

x + 300 - 2x = 264

x = 300 - 2x -300 = 264 - 300

-x = - 36

-1x/-1 = - 36/-1

x = 36

The answer is x = 36

The solution set is { 36 }

Insert the x value into equation 1

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Solving for y equation 1

x + y = 150

36 + y = 150

36 + y - 36 = 150 - 36

y = 114

The answer is y = 114
\
The solution set is { 114 }

Insert the y value into equation 1

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Check for equation 1

x + y = 150

36 + 114 = 150

150 = 150

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Check for equation 2

x + 2y = 264

36 + 2(114) = 264

36 + 228 = 264

264 = 264

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The solution set is { 36, 114 }

The answer is there are 114 Packages weighing 2kg

Answer 4

it quite is letter E. it truly is the answer: permit x be the form of applications that weigh a million kg permit a hundred and fifty - x be the form of applications that weigh 2 kg we will have this working equation: x + 2(a hundred and fifty-x) = 264 because once you multiply the numbers of each and every kit by a million kg or 2 kg and upload them, the sum is 264 kg. by fixing the equation we had formulated: x + 3 hundred - 2x = 264 -x = -36 x = 36 by subtracting the fee of x (that's 36 because of the fact it quite is the form of applications that weigh a million kg) from a hundred and fifty, we could constantly get 114.

Answer 5

x+y=150
x+2y=264

Subtracting second from first, y=114