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In Mathematics / High School | 2014-11-10

Can someone help me with a system of equations?

A pet store sells 2 cats and 1 dog for $350. The next day they sell 1 cat and 2 dogs for $475. Find the cost of one cat and one dog.

Asked by garagajo3

Answer (2)

2x + y = 350 x + 2y = 475 3x + 3y = 825 x + y = 275 x = 275 - y (plug back into first equation) 2(275 - y) + y = 350 550 - 2y + y = 350 550 - y = 350 -y =-200 or y = $200 (dog) therefore, x = $75 (cats) Check 2(75) + 200 = 350 75 + 400 = 475 HAPPINESS! :)

Answered by cooncrazy04 | 2024-06-10

The cost of one cat is $75, and the cost of one dog is $200, determined by setting up and solving a system of equations based on provided information. These values were checked with the original equations and confirmed as correct.
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Answered by cooncrazy04 | 2025-02-13