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?

Question

Jenny Bowen

Mathematics

4 December, 14:10

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?

+2

Answers (1)

Know the Answer?

Jonathan Gay · Answer 1

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