SOLUTION: 6th grade homework problem but not from a textbook. We have to show all work on a seperate piece of paper and it's the first time all of us have seen it. Question is: If M+L=1

Question 81531: 6th grade homework problem but not from a textbook. We have to show all work on a seperate piece of paper and it's the first time all of us have seen it.
Question is: If M+L=10.6 and S+L=8.5 and S+M=6.1 then what is the weight of S, M and L?
Thanks!
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
First, subtract the first two equations, noticing that the L will subtract out:
M+L=10.6
S+L=8.5

M-S = 2.1
Next, you can add this equation to the third equation, and look what happens:
M-S= 2.1
S+M=6.1

This gives you 2M = 8.2

Divide both sides by 2:

Now, go back to the first equation, and substitute this value of M, in order to solve for L:
M+L=10.6
4.1 + L = 10.6

Subtract 4.1 from each side:
L=10.6-4.1= 6.5

Finally, substitute L into the second equation:
S+L=8.5
S + 6.5 = 8.5

Subtract 6.5 from each side:
S= 2.0.

If you want to check this you can substitute the numbers into the third equation:

S+M=6.1+4.1 = 10.2

Did this check? Yes!!

R^2 at SCC

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