So we have the following equations:
Equation 1: 11f + 4b = 803
and
Equation 2: 6f + 6b = 522.
If we take equation 2, we can simplify it into:
f + b = 87 (by dividing f, b, and 522 by 6.)
This gives us f = 87 - b.
We can substitute this value into equation 1 as shown:
11(87 - b) + 4b = 803
We then use the distributive property which gives us:
957 - 11b + 4b = 803
Combine like terms:
957 - 7b = 803
Simplify:
-7b = -154
Divide both sides by -7:
b = 22.
The question asks for the value of a baseball and a football so we substitute this into equation 2 which gives us:
6f + 6(22) = 522
6f + 132 = 522
6f = 390
f = 65.
Hope this helped!
Caffeine :)