Question

An animal shelter spends $1.50 per day to care for each bird and $8.50 per day to care for each cat. Alexander noticed that the shelter spent $108.00 caring for birds and cats on Tuesday. Alexander found a record showing that there were a total of 30 birds and cats on Tuesday. How many birds were at the shelter on Tuesday?

Answer 1

The number of birds at the shelter on Tuesday is 21 .

Explanation:

Given as :

The amount spent for each bird care = $ 1.50

The amount spend for each cat care = $ 8.50

Total amount spend for both bird and cat care = $ 108.00

The total number of birds and cats on Tuesday = 30

Now,

Let The number of birds = B

and The number of cats = C

According to question

B + C = 30 and ...........1

$ 1.50 B + $ 8.50 C = $ 108 ..............2

Solve both equations

I.e 1.50 × ( B + C ) = 1.50 × 30

Or , 1.50 B + 1.50 C = 45

So, ( 1.50 B + 8.50 C ) - ( 1.50 B + 1.50 C ) = 108 - 45

Or , (1.50 B - 1.50 B ) + (8.50 C - 1.50 C ) = 63

Or, 0 + 7 C = 63

∴ C =
`(63)/(7)`

I.e C = 9

Put The value of C in eq 1

So, B = 30 - C

or, B = 30 - 9

∴ B = 21

Hence The number of birds at the shelter on Tuesday is 21 . Answer