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## patbatE21 3 years ago A jar of juice weighs 12 lbs. 1/4 of the juice spills out. The jar of juice now weighs 9 1/2 lbs. How much does the empty jar weigh?

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1. ktklown

jar weighs 2 pounds and juice weighs 10 pounds originally; medal please

2. patbatE21

How did you get that ktklown

3. ktklown

x is weight of jar. y is weight of juice. simultaneously solve x + y = 12 x + (3/4) y = 9.5

4. patbatE21

I am not satisfied with this question I need a work out if possible please anyone

5. ktklown

do you know how to solve simultaneous systems of linear equations?

6. patbatE21

Yes. I multiplied by -3/4

7. ktklown

ok, so what's the problem?

8. ktklown

you can multiply both equations by 4 to make the fractions go away if you want, that makes computation easier

9. patbatE21

If I have to explain it to a pre-algebra class that have not been introduced to systems of linear equation in what other way could it be explained?

10. ktklown

are you a teacher?

11. patbatE21

A tutor

12. ktklown

Without explicit systems of linear equations you could explain it this way: When the juice spilled, the total weight went down by 2.5 pounds. Since that was 1/4 of the juice, the total juice weight must be 4 times 2.5, which is 10. Since the whole package weighed 12 pounds and the juice weighed 10, that leaves 2 for the jar.

13. patbatE21

Alright

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