Question

An animal shelter spends $1.50 per day to care for each bird and $6.50 per day to care for each cat. Robert noticed that the shelter spent $123.00 caring for birds and cats on Monday. Robert found a record showing that there were a total of 22 birds and cats on Monday. How many birds were at the shelter on Monday?

Answer 1

Answer:

4 birds were at the shelter on Monday

Step-by-step explanation:

Let x represents the bird and y represents the cats.

As per the statement:

An animal shelter spends $1.50 per day to care for each bird and $6.50 per day to care for each cat.

⇒ Cost for x birds = $1.50 x and  Cost for y cats = $6.50 y

It is also given that Robert noticed that the shelter spent $123.00 caring for birds and cats on Monday.

⇒  $1.50x+6.50y = 123$             ......[1]

Total number of birds and cats on Monday are 22

⇒$x+y =22$           .....[2]

Multiply equation 2 by 1.50 we get;

$1.50x+1.50y = 33$           .....[3]

Subtract equation [3] from [1] to eliminate x, we get;

$5y = 90$

Divide both sides by 5 we get;

y = 18

Substitute the value of y in [2] we get;

x +18 = 22

Subtract 18 from both sides we get;

x =4

Therefore, 4 birds were at the shelter on Monday