George wants to buy pets for each of his 5 grandchildren if he buys 3 pooples and 2 cats he will spend 1200 if he buys 2 poodles and 3 cats he will spend 1050. find the cost of a poodle and cat

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 = 1200eq 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 = 2100eq 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)

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

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step-by-step explanation: