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patbatE21
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?
jar weighs 2 pounds and juice weighs 10 pounds originally; medal please
How did you get that ktklown
x is weight of jar. y is weight of juice. simultaneously solve x + y = 12 x + (3/4) y = 9.5
I am not satisfied with this question I need a work out if possible please anyone
do you know how to solve simultaneous systems of linear equations?
Yes. I multiplied by -3/4
ok, so what's the problem?
you can multiply both equations by 4 to make the fractions go away if you want, that makes computation easier
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?
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.