An animal shelter spends $4.00 per day to care for each bird and $8.00 per day to care for each cat. Xavier noticed that the she

Question

4 years ago

5

An animal shelter spends $4.00 per day to care for each bird and $8.00 per day to care for each cat. Xavier noticed that the she

lter spent $148.00 caring for birds and cats on Wednesday. Xavier found a record showing that there were a total of 24 birds and cats on Wednesday. How many birds were at the shelter on Wednesday?

Mathematics

1 answer:

Anna [14] · Answer 1 · 2022-01-29T23:57:36+03:00

There were 11 birds at the shelter on Wednesday.

Step-by-step explanation:

Cost of care for one bird = $4.00

Cost of care for one cat = $8.00

Total spent = $148.00

Total birds = 24

Let,

Number of birds = x

Number of cats = y

According to given statement;

x+y=24 Eqn 1

4x+8y=148 Eqn 2

Multiplying Eqn 1 by 4

$4(x+y=24)\\4x+4y=96\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2;

$(4x+8y)-(4x+4y)=148-96\\4x+8y-4x-4y=52\\4y=52$

Dividing both sides by 4

$\frac{4y}{4}=\frac{52}{4}\\y=13$

Putting y=13 in Eqn 1

$x+13=24\\x=24-13\\x=11$

There were 11 birds at the shelter on Wednesday.

Keywords: linear equations, subtraction

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