Respuesta :
The question is incomplete:
The sum of the average amounts spent for veterinary expenses for dogs, cats, and birds in a recent year was $293 The average expenditure per dog exceeded the sum of the averages for cats and birds by $113. The amount spent per cat was 9 times the amount spent per bird. Find the average amount spent on each type of animal.
Answer:
The average amount spent in dogs is $203, in cats is $81 and in birds is $9.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y+z=293 (1)
x-y-z=113 (2)
y=9z (3)
You can replace (3) in (1) and (2):
x+9z+z=293
x+10z=293 (4)
x-9z-z=113
x-10z=113 (5)
Now, you have the following equations:
x+10z=293 (4)
x-10z=113 (5)
Then, you can isolate x in (4):
x=293-10z (6)
Next, you can replace (6) in (5):
293-10z-10z=113
293-20z=113
293-113=20z
180=20z
z=180/20
z=9
Now, you can replace the value of z in (6) to find x:
x=293-10z
x=293-10(9)
x=293-90
x=203
Finally, you can replace the value z in (3) to find y:
y=9*(9)
y=81
According to this, the answer is that the average amount spent in dogs is $203, in cats is $81 and in birds is $9.
