Question

An animal shelter spends $2.50 per day to care for each bird and $4.00 per day to care for each cat. Evelyn noticed that the shelter spent $123.50 caring for birds and cats on Thursday. Evelyn found a record showing that there were a total of 35 birds and cats on Thursday. How many birds were at the shelter on Thursday?

A) 15 birds
B) 20 birds
C) 25 birds
D) 30 birds

Answer 1

x= birds

y = cats

. Evelyn found a register showing a total of 35 birds and cats on Thursday--->x+y=35

An animal shelter spends $2.50 per day to care for each bird and $4.00 per day to care for each cat. Evelyne noticed that the shelter spent $123.50 to care for the birds and cats on Thursday--->

2.5x+4y=$123.50

system to solve

x+y=35

2.5x+4y=123.5

by substitution: x= 35-y

replace x :

2.5(35-y)+4y=123.5

87.5-2.5y+4y=123.5

1.5y=123.5-87.5

1.5y=36

y=24

on thursday there were 24 cats

we calculate x:

x+y=35

x+24=35

x=35-24

x=11

on Thursday there were 11 birds

Answer 2

To find the number of birds at the shelter on Thursday, solve the system of equations. The number of birds is 11.

Step-by-step explanation:

To find the number of birds at the shelter on Thursday, we can set up a system of equations. Let's say x represents the number of birds and y represents the number of cats. From the given information, we know that the shelter spent $2.50x caring for birds and $4.00y caring for cats. We also know that the total amount spent on Thursday was $123.50. So we can write the equation: 2.50x + 4.00y = 123.50

We also know that the total number of birds and cats is 35. So we can write another equation: x + y = 35

We can solve this system of equations using substitution or elimination. Let's use elimination. Multiply the second equation by -2.50 to get: -2.50x - 2.50y = -87.50

Add this equation to the first equation: (2.50x + 4.00y) + (-2.50x - 2.50y) = 123.50 + (-87.50)

Simplify the equation: 1.50y = 36

Divide both sides by 1.50: y = 24

Substitute y = 24 into the second equation: x + 24 = 35

Subtract 24 from both sides: x = 11

Therefore, there were 11 birds at the shelter on Thursday.