An animal shelter spends $3.00 per day to care for each cat and $5.50 per day to care for each dog. Layla noticed that the shelter spent $57.50 caring for cats and dogs on Monday. Layla found a record showing that there were a total of 15 cats and dogs on Monday. How many cats were at the shelter on Monday?

  10

Step-by-step 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

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

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.

10 cats were at the shelter on Monday.

Step-by-step explanation:

Let x represent the number of cats were at the shelter on Monday.

Let y represent the number of dogs were at the shelter on Monday.

Layla found a record showing that there were a total of 15 cats and dogs on Monday. This means that

x + y = 15

The animal shelter spends $3.00 per day to care for each cat and $5.50 per day to care for each dog. Layla noticed that the shelter spent $57.50 caring for cats and dogs on Monday. This means that

3x + 5.5y = 57.5 - - - - - - - - - - - - -1

Substituting x = 15 - y into equation 1, it becomes

3(15 - y) + 5.5y = 57.5

45 - 3y + 5.5y = 57.5

- 3y + 5.5y = 57.5 - 45

2.5y = 12.5

y = 12.5/2.5

y = 5

x = 15 - y = 15 - 5

x = 10

i'm not sure what you mean but in todays world there is a lot of women that are the bread winners in the family. there is a lot more single mothers now that are going back to get an education which is boosting the economy. i believe there has been a boost in the economy due to women the cosmetic industry is boosting, chemist, the sky is becoming the limit for women in todays economy. most women are also putting off having kids just to make sure they have a education. i don't know how these two relate though to scriptures because it's not the way the lord wanted it. the man is suppose to be the bread winner and due to social media and the easy access we have there is a lot of cheating going on.

step-by-step explanation:

the answer would be d

straight away you can eliminate a and c because not all books contain a scientific skill because some may be fiction. c is also wrong because it saids that the only way children can learn is through books which is incorrect.

b is also wrong because reading can be a scientific skill but not always, therefore it is wrong which leaves you with d, the correct answer since it said that it can children learn.

hope this ! : 3