An animal shelter spends $1.00 per day to care for each bird and $6.50 per day to care for each cat. Josiah noticed that the shelter spent $161.50 caring for birds and cats on Friday. Josiah found a record showing that there were a total of 46 birds and cats on Friday. How many birds were at the shelter on Friday?'
let the number of birds be x and that of cats be y The total number of animals will be: x+y=46 ⇒x=46-y
The total amount required for the caring will be: x+6.5y=161.50
susbstituing the value of x in the above equation we get: 46-y+6.5y=161.50 solving for y we get: 5.5y=115.5 y=115.5/5.5 y=21 hence the number of cats is 21 cats, that of birds will be: 46-21=25 birds