The price of a stereo at Mary's is $220 less than twice the price at Cal's. The difference between the stores is $175. How much does the system cost at each store? Can you show how to write the equation and solve it?

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Borys Shumyatskiy eNotes educator | Certified Educator

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Hello!

Essentially, there are two unknowns: for the price at Marys, denote it as `x` (dollars), and the price at Cal's as `y` (dollars).

We are given two statements about these prices. The first statement, "the price of a stereo at Mary's is $220 less than twice the price at Cal's", gives us the first equation, `x = 2 * y - 220.` The second one, "the difference between the stores is $175", gives us the second equation, `| x - y | = 175.` I used absolute value because it is not clear which...

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