The price of a stereo at Mary's is $220 less than twice the price at Cal's. The difference in the price between both stores is $175. How much does the system cost in both stores?
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Let us assign variables: let m be the price of the system at Mary's and let c be the price of the system at Cal's.
We are told that the price at Mary's, m, is $220 less than twice the price at Cal's. Translating into algebraic notation we get m=2c-220. (Twice indicates to multiply by 2, while in context less suggests we subtract.)
Also we are given that the difference (subtraction) between the two prices is $175 or m-c=175.
We have a system of two linear equations in two unknowns. This system...
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