PLEASE HELP I NEED HELP!!!



Three packages are being mailed. Two are identical, but the third is 2 pounds heavier.
Together, they weigh 62 pounds. What is the weight of the heaviest package?

Respuesta :

We are told that three packages are being mailed. Two of them weigh the same, and one is two pounds heavier. All three weigh 62 pounds.

Let w be the weight of one of the packages. Let's make w be the weight of the two packages that weigh the same amount. The third package, two pounds heavier, weighs w + 2 pounds.

Now we take our three packages - w, w, and w +2, and find their total weight. We are told they weigh 62 pounds.

w + w + w +2 = 62          <----weights of all three packages totaling 62 pounds

3w + 2 = 62                    <----combine like terms

3w = 60                          <----subtract 2 on both sides

w = 20                            <----divide both sides by 3

We put w back into our weights of w, w, and w +2. So the packages weigh 20 pounds, 20 pounds, and 20 + 2 = 22 pounds.


Therefore the heaviest package weighs 22 pounds, and the other two weigh 20 pounds.

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