SOLUTION: The sum of the average amounts spent for veterinary expenses for​ dogs, cats, and birds in a recent year was ​$318. The average expenditure per dog exceeded the sum of

Algebra ->  Finance -> SOLUTION: The sum of the average amounts spent for veterinary expenses for​ dogs, cats, and birds in a recent year was ​$318. The average expenditure per dog exceeded the sum of       Log On


   

Question 1129446: The sum of the average amounts spent for veterinary expenses for​ dogs, cats, and birds in a recent year was ​$318. The average expenditure per dog exceeded the sum of the averages for cats and birds by ​$98. The amount spent per cat was ten times the amount spent per bird. Find the average amount spent on each type of animal.
Help please I got this in my homework and i'm stuck now
Found 2 solutions by josgarithmetic, Boreal:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Try to pick one variable to what you believe is most convenient and then write the other "expenditure" expressions.
ANIMALS       EXPENDITURES
Dog
Cat
Bird               b
SUM               318


The average expenditure per dog exceeded the sum of the averages for cats and birds by ​$98. The amount spent per cat was ten times the amount spent per bird. Find the average amount spent on each type of animal. 
ANIMALS       EXPENDITURES
Dog            10b+b+98
Cat               10b
Bird               b
SUM               318

22b%2B98=318
11b%2B49=159
11b=110
highlight_green%28b=10%29
Find the other two.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
bird=x
cat=10x
that sum is 11x
dog=11x+98
Everything added together is 22x+98=318
so 22x=220
x=$10 bird average
10x=$100 cat average
11x+98=$208 dog average
They add to $318