3 dogs plus 5 cats cost $365. 5 dogs plus 3 cats cost $491. What is the cost of one cat?

Solution given;

let dogs be d and cats be c.

according to the question

3 d +5 c =$365........[1]

5d+3c=$491.............[2]

By doing elimination method

multiplying equation 1 by 5 and equation 2 by 3 and subtracting

we get

15d+25c=$365*5

15d+9c=$491*3

- - -

____________

;16c=$352

c==$22

the cost of one cat is $22.