SOLUTION: Solve, using two equations in two variables: This year, the total number of dogs and cats sold by the Animal Adoption Agency was 1216. Last year, 420 more cats and double the numbe

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Solve, using two equations in two variables: This year, the total number of dogs and cats sold by the Animal Adoption Agency was 1216. Last year, 420 more cats and double the numbe      Log On


   

Question 77281This question is from textbook Algebra:Structure and Method
: Solve, using two equations in two variables: This year, the total number of dogs and cats sold by the Animal Adoption Agency was 1216. Last year, 420 more cats and double the number of dogs were sold for a total of 2024. How many of each were sold this year? This question is from textbook Algebra:Structure and Method

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
This year, the total number of dogs and cats sold by the Animal Adoption Agency was 1216. Last year, 420 more cats and double the number of dogs were sold for a total of 2024. How many of each were sold this year?
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Let number of dogs be "d" ; Let number of cats be "c"
EQUATIONS:
d + c = 1216
2d+c+420 = 2024
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c=1216-d
Substitute to get:
2d+1216-d+420=2024
d = 388 dogs
c=1216-d = 828 cats
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Cheers,
Stan H.