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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?

Respuesta :

Answer:

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

Step-by-step 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 = [tex]\frac{63}{7}[/tex]

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

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