An animal shelter spends $2.50 per day to care for each cat and $4.00 per day to care for each dog. Camden noticed that the shelter spent $100.50 caring for cats and dogs on Thursday. Camden found a record showing that there were a total of 30 cats and dogs on Thursday. How many cats were at the shelter on Thursday?

13 cats were at the shelter on Thursday.

Step-by-step explanation:

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

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

Camden found a record showing that there were a total of 30 cats and dogs on Thursday. This means that

x + y = 30

The animal shelter spends $2.50 per day to care for each cat and $4.00 per day to care for each dog. Camden noticed that the shelter spent $100.50 caring for cats and dogs on Thursday. This means that

2.5x + 4y = 100.5 - - - - - - - - - - - - 1

Substituting x = 30 - y into equation 1, it becomes

2.5(30 - y) + 4y = 100.5

75 - 2.5y + 4y = 100.5

- 2.5y + 4y = 100.5 - 75

1.5y = 25.5

y = 25.5/1.5

y = 17

x = 30 - y = 30 - 17

x = 13

answer: 370

step-by-step explanation:

remember use pemdas! there are no parentheses or exponents so lets move onto the first part of the equation: multiplication and division. first, lets break the first part of the equation up into something easier using the distributive property. 28 * 12= (20 *12) + (8*12) you know that 20*12 is 240 and 8*12 is 96. add them and you get 336. then, lets solve the last part of the equation (the last part of pemdas is addition and subtraction). 336 plus 34 is 370. hope this !

answer:

3 bags of apples and 2 bags of oranges.

step-by-step explanation: