Question

An animal shelter spends $2.00 per day to care for each cat and $6.50 per day to care for each dog. Isaiah noticed that the shelter spent $44.00 caring for cats and dogs on Wednesday. Isaiah found a record showing that there were a total of 13 cats and dogs on Wednesday. How many cats were at the shelter on Wednesday?

Answer 1

There were 9 cats at the shelter on Wednesday.

Step-by-step explanation:

Per day cost to care for each cat = $2.00

Per day cost to care for each dog = $6.50

Total Cost on Wednesday = $44.00

Suppose

Number of cats = C

Number of dogs = D

According to given condition

C + D = 13 (Equation 1)

( each cat's per day cost x Number of cats ) + ( each dog's per day cost x Number of dogs ) = Total coat

2C + 6.5D = 44 (Equation 2)

Multiply (Equation 1) by 2 and we get

2C + 2D = 26 (Equation 3)

Subtract (Equation 3) from (Equation 2)

2C + 6.5D - 2C - 2D = 44 -26

4.5D = 18

D = 18/4.5

D = 4

by placing value of D in (Equation 1)

C + 4 = 13

C = 13-4

C = 9