Answer:
10
Explanation:
If all were dogs, the expense would have been ...
$5.50 × 15 = $82.50
The actual expense was less by ...
$82.50 -57.50 = $25.00
Each cat costs $2.50 per day less than a dog, so there must have been ...
$25.00/$2.50 = 10 . . . . cats in the shelter on Monday
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If you write an equation for the number of cats, it might look like ...
3.00c +5.50(15 -c) = 57.50
-2.50c +82.50 = 57.50 . . . . . eliminate parentheses, collect terms
-2.50c = -25.00 . . . . . . . . . . . subtract 82.50
c = -25.00/-2.50 = 10 . . . . . . the number of cats on Monday
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Comment on the question
All of your "animal shelter" questions can be answered the same way. Use a variable for the number of one kind of animal, and use the difference from the total as the number of the other animal. Write an equation for the total cost, as we have done here. The solution takes about 3 steps, as here.
You will note that the "word solution" presented first is fully equivalent to the equation solution.
If you make the variable represent the highest-cost animal, the numbers will remain positive. Here, the question asked for the number of cats, the lower-cost animal, so we saw some negative numbers in the solution.