Problema Solution
A pet store sells cats for $60 and dogs for $100. If one day it sells a total of 12 pets and makes $920, find out how many cats and dogs it sold by writing a system of equations and graphing to solve it.
Answer provided by our tutors
let
c = the number of cats sold
d = the number of dogs sold
one day it sells a total of 12 pets and makes $920:
c + d = 12
60c + 100d = 920
by solving the above system of equations we find:
c = 7 cats
d = 5 dogs
click here to see the step by step solution of the system of equations:
60c + 100d = 920 divide both sides by 20
3c + 5d = 46
lets draw the graph of the system of equations:
c + d = 12
3c + 5d = 46
the intersection of these 2 lines (7, 5) gives the solution : 7 cats and 5 dogs
click here to see the graph: