Answer:
- baseball: 5 ounces
- basketball: 20 ounces
Step-by-step explanation:
Let "e" represent the weight of a baseball, and "k" represent the weight of a basketball, all weights being in ounces. Then the given information can be summarized as ...
8e +2k = 80
5e +3k = 85
We can divide the first equation by 2 and subtract 4e to get ...
k = 40 -4e
This can be substituted into the second equation to give ...
5e +3(40 -4e) = 85
-7e +120 = 85 . . . . . . . simplify
35 = 7e . . . . . . . . . . . . add 7e-85
5 = e . . . . . . . . . . . . . . divide by 7
k = 40 -4·5 = 20 . . . . . find k using the above equation
The weight of a baseball is 5 ounces; a basketball, 20 ounces.
