Answer:
Each poodle = $300
Each Cat = $150
Step-by-step explanation:
Let number of poodles be P and number of cats be C
"if he buys 3 pooples and 2 cats he will spend 1200" mathematically:
3P + 2C = 1200-------eq 1
"2 poodles and 3 cats he will spend 1050" mathematically:
2P + 3C = 1050 ------eq 2
So now we have a system of 2 equations with 2 unknowns, we'll solve by elimination
eq 1 x 3 : 3 (3P + 2C) = 3 (1200)
9P + 6C = 3600 ------ eq 3
eq 2 x 2: 2(2P + 3C) = 2(1050)
4P + 6C = 2100---------eq 4
By elimination : eq 3 - eq 4
(9P + 6C) - (4P + 6C) = 3600 - 2100
9P - 4P = 1500
5P = 1500
P = 300 (answer)
Substituting back into eq 1
3(300) + 2C = 1200
900 + 2C = 1200
2C = 1200 - 900
2C = 300
C = 150(answer)
