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
[tex]4(x+y=24)\\4x+4y=96\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 3 from Eqn 2;
[tex](4x+8y)-(4x+4y)=148-96\\4x+8y-4x-4y=52\\4y=52[/tex]
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{52}{4}\\y=13[/tex]
Putting y=13 in Eqn 1
[tex]x+13=24\\x=24-13\\x=11[/tex]
There were 11 birds at the shelter on Wednesday.
Keywords: linear equations, subtraction
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