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ddd [48]
1 year ago
10

An animal shelter spends $3.00 per day to care for each cat and $7.00 per day to care for each dog. The animal shelter spent a t

otal of $124 caring for
both cats and dogs today. If the total number of cats and dogs was 24, how many dogs were at the shelter today?
O 10
O 11
O 12
O 13
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Mathematics
2 answers:
o-na [289]1 year ago
6 0
12 just trust
12 just trust12 just trust12 just trust12 just trust12 just trust12 just trust12 just trust12 just trust12 just trust12 just trust12 just trust12 just trust
gavmur [86]1 year ago
5 0

The number of dogs at the shelter is 13.

<h3>What is a system of equations?</h3>

A system having more than two equations is known as a system of equations.

Given that, the shelter spends $3 per day to care for each cat and $7 per day to care for each dog.

Let the number of cats be x and the number of dogs is y.

Given that, x + y = 24.

x = 24 - y      (1)

The total cost of caring for x dogs and y cats is:

3x + 7y = 124

Substitute x = 24- y into the above equation:

3(24- y) + 7y = 124

72 -3y + 7y = 124

4y = 52

y = 13

Hence, the number of dogs at the shelter is 13.

Learn more about the system of equations:

brainly.com/question/24065247

#SPJ2

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Answer:

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\angle TAC = arccos \left ( \dfrac{\sqrt{130} }{24} \right ) \approx  61.6 ^{\circ} \ to 1 \ decimal \ place

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