Baseballs, Buckets, and Milk CartonsDate: 10/09/2001 at 16:53:13 From: Laura Subject: Algebra; Equations The question is: The mass of a baseball is 50g. What is the mass of a bucket when... 2 buckets = 6 blocks 1 bucket + 1 block = 2 milk cartons 2 baseballs = 1 milk carton I figured out that 1 milk carton = 100g 2 mc = 200g 1bucket+1ball = 200g I can't figure out how to find the answer. Please help! Laura Date: 10/10/2001 at 11:30:11 From: Doctor Ian Subject: Re: Algebra; Equations Hi Laura, You're on the right track. If the mass of a baseball is 50 grams, then the mass of a milk carton must be twice that, or 100 grams. So the mass of a bucket and a block must be twice that again, or 200 grams. Here's where it gets tricky. Let's look at the two equations 2 buckets = 6 blocks 1 bucket + 1 block = 200 g The first equation is the same as saying that 1 bucket = 3 blocks which is the same as saying that 1 bucket - 3 blocks = 0 So now we have these two equations: 1 bucket - 3 blocks = 0 1 bucket + 1 block = 200 g This tells you that a difference of 4 blocks is the same thing as a difference of 200 g. Does this help? - Doctor Ian, The Math Forum http://mathforum.org/dr.math/ |
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