An animal shelter spends $2.00 per day to care for each cat and $6.50 per day to care for each dog. Amelia noticed that the shelter spent $30.00 caring for cats and dogs on Friday. Amelia found a record showing that there were a total of 6 cats and dogs on Friday. How many cats were at the shelter on Friday?

the were 2 cats at the shelter on Friday.

Step-by-step explanation:

Let x represent the number of cats at the shelter on Friday.

Let y represent the number of dogs at the shelter on Friday.

Amelia found a record showing that there were a total of 6 cats and dogs on Friday. This means that

x + y = 6

An animal shelter spends $2.00 per day to care for each cat and $6.50 per day to care for each dog. Amelia noticed that the shelter spent $30.00 caring for cats and dogs on Friday. This means that

2x + 6.5y = 30- - - - - - - - - - - - -1

Substituting x = 6 - y into equation 1, it becomes

2(6 - y) + 6.5y = 30

12 - 2y + 6.5y = 30

- 2y + 6.5y = 30 - 12

4.5y = 18

y = 18/4.5

y = 4

x = 6 - y = 6 - 4

x = 2

answer: y = -12x + 108

step-by-step explanation: do (y = m x+b) formula.

you should at least use a calculater

step-by-step explanation: