Question

An animal shelter spends $1.50 per day to care for each cat and $3.50 per day to care for each dog. Gianna noticed that the shelter spent $20.50 caring for cats and dogs on Tuesday. Gianna found a record showing that there were a total of 7 cats and dogs on Tuesday. How many cats were at the shelter on Tuesday?

Answer 1

Answer:

2 cats were cared for

Step-by-step explanation:

c= cats

d=dogs

c+d =7

1.5c+3.5d=20.50

c+d =7

solve for d

d = 7-c

substitute into 1.5c+3.5d=20.50

1.5 c + 3.5 (7-c) = 20.50

distribute

1.5c +24.5 -3.5 c = 20.5

combine like terms

24.5 -2c =20.5

subtract 24.5 from each side

-2c = -4

divide by -2

c =2