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Arlecino [84]
3 years ago
12

An animal shelter spends $3.00 per day to care for each bird and $8.50 per day to care for each cat. Kayla noticed that the shel

ter spent $123.00 caring for birds and cats on Tuesday. Kayla 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?
Mathematics
2 answers:
Lady bird [3.3K]3 years ago
8 0
$123 = ($3b + $8.50c)

b + c = 30

b = 24 birds ($72)
c = 6 cats ($51)

51+72=123

There were 24 birds at the shelter on Tuesday.
Irina-Kira [14]3 years ago
5 0
Thirty birds were at the shelter on Tuesday
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Answer:

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Now we can solve this.

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Move the 100 over to the other side.

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Simplify.

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Since the total sum of the angles in a triangle are equal to 180°, we know that ∠D+∠C+∠E=180. Because we already know ∠C and ∠E we can put those numbers in for them. 80°+70°+∠D=180°. Now we can solve this.

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∠A=30°

We are going to use the alternate angles rule one more time to solve for ∠B (this rule is very important when dealing with parallel lines), we could also use the corresponding angles rule but for simplicity we will just stick with the alternate angles rule. Because the vertical angle opposite ∠A is equal to 30°, we can see that the supplementary angle opposite ∠B=30°. Because this angle is supplementary with B we know that 30+B=180.Now we can solve this.

30+B=180

Now we move the 30 over to the other side.

30-30+B=180-30

Simplify.

B=150

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I hope this helps!

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