SOLUTION: Sam and tim have a total of 130 sweets; tim and claire have a total of 141 sweets; sam and claire have a total of 99 sweets. How much sweets does sam have?

Question 969729: Sam and tim have a total of 130 sweets; tim and claire have a total of 141 sweets; sam and claire have a total of 99 sweets. How much sweets does sam have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Sam and tim have a total of 130 sweets; tim and claire have a total of 141 sweets; sam and claire have a total of 99 sweets. How much sweets does sam have?
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Equations:
s + t = 130
t + c = 141
s + c = 99
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Modify::
0 + s + t = 130
c + 0 + t = 141
c + s + 0 = 99
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I used a matrix method to get:
c = 55
s = 44
t = 86
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Cheers,
Stan H.
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