Math problem. Algebra II. A veterinarian....

Question

A veterinarian had 140 routine cat or dog appointments for the week. the cost of a routine cat appointment is $20 and of a routine dog appointment is $25. The veterinarian earn $3225 for these visits. Solve a system of equations to determine the number of routine dog appointments for the veterinarian week.

Answer 1

(140-d)(20)+d(25)=3225 where d=dog appointments and 140-d=cat appointments

2800-20d+25d=3225

5d=425 d=85

number of dog appointments = 85

number of cat appointments = 140-85=55

check the answer

55(20)+85(25)=1100+2125=3225

If you want to write this as a system of equations, 2 equations 2 unknowns

then c+d=140

and the 2nd equation is 20c+25d=3225

Multiply the first equation by 20 to get

20c+20d=2800. Subtract that from 20c+25d=3225

to get 5d=3225-2800=425

5d=425

divide both sides by 5 to get

d=85