SOLUTION: Mary can buy a ring and earrings for $9, earrrings and a comb for $10, a comb and a ring for $11. What is the price of the comb?

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Question 668815: Mary can buy a ring and earrings for $9, earrrings and a comb for $10, a comb and a ring for $11. What is the price of the comb?
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Establish variables
x = ring
y = earrings
z = comb
...
Given
x+y = 9
y+z = 10
z+x = 11
Solve for z
...
z + x = 11
z + 9-y = 11
z + 9-(10-z) = 11
Distribute the -1
z + 9 - 10 + z = 11
Combine like terms
2z = 11 - 9 + 10
2z = 12
highlight_green%28z=6%29 for the comb.
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