Question

1. Two families brought all their cats and dogs

into the vet this morning. The first family
brought in 2 cats and 3 dogs and paid $195.
The second family brought in 4 cats and
dog and paid $165. Wifite the two equations
and solve for the cost of a cat visit and a dog
visit at the vet.

Answer 1

cat = $30

dog = $45

Explanation:

write the equation, assume cat = c, dog = d1

2c + 3d = 195 -> eq 1

4c + d = 165 -> eq 2

rewrite eq 2 so that dog is in term of cat

d = 165 - 4c -> eq 3

replace eq 3 into eq 1

2c + 3(165-4c) = 195

2c + 495 - 12c = 195

2c - 12c = 195 - 495

-10c = -300

c = -300/-10 = 30

replace c in eq 3

d = 165 - 4(30) = 165 - 120 = 45