Respuesta :
Answer:
5 cats
Step-by-step explanation:
23 cats
Step-by-step explanation:
let x be the number of cats at the shelter on Monday
and let y be the number of dogs at the shelter on Monday.
Now we have two unknown variable x and y so we need at least two equations to solve for both x and y.
The first equation can be written from the statement "total of 28 cats and dogs on Thursday", which converts to :
x+y=28
The second equation can be determined from the sentence "the shelter spent $95.50 caring for cats and dogs on Monday" . Also we know that the shelter spends $3/day for cats and $3.5/day for dogs which means 3*x (as x is the total number of cats) and 3.5*y (as y is the total number of dogs on Thursday) and we also know that the shelter spend a total of $95.50 which means that:
3x+3.5y=95.5
Now from first equation we can find the value of x which is x=28-y and then we replace this value of x in the second equation and solve for y.
3(28-y)+3.5y=95.50
84-3y+3.5y=95.50
84+0.5y=95.50
0.5y=11.5
y=11.5/0.5
y=23
Now to find x (the number of cats on Monday), we put this value of y in the first equation which gives us:
x=28-23
x=5
