Mailboxes Plus sends packages overnight for $5 plus $0.25 per ounce. United Packages charges $2 plus $0.35 per ounce. Me. Molinari noticed that his package would cost the same to mail using either service. How much does his package weigh?

Respuesta :

Answer:

30 ounces

Step-by-step explanation:

You first have to write out the two equations:

5+0.25x=y

2+0.35x=y

Then simply equal the equations to each other:

5+0.25x=2+0.35x

Subtract the 2 from both sides:

3+0.25x=0.35x

Subtract the 0.25x from both sides:

3=0.10x

Divide the 0.10 on both sides:

30=x

So, 30 ounces is your answer!

You can check by plugging 30 back into the equations to make sure that they are equal to each other.

5+0.25(30)=12.5

2+0.35(30)=12.5

The weight of the packages will be 30 ounces

The equation for the cost of Mailbox Plus will be 5 + 0.25

The equation for the cost of United Packages will be 2 + 0.35x

Therefore, we'll equate both equations and this will be;

5 + 0.25x = 2 + 0.35x

Collect like terms

0.35x - 0.25x = 5 - 2

0.10x = 3

x = 3/0.10

x = 30

There, the weight of the packages will be 30 ounces.

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