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

good luck!

cutie~

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you