Respuesta :
Answer:
39 and 27
Step-by-step explanation:
GIVEN: Robbie, has scored [tex]120[/tex] so far this season. He has scored all of his points on [tex]1[/tex]-point extra point kicks and [tex]3[/tex]-point field goals. He has made a total of [tex]66[/tex] kicks.
TO FIND: How many of each kick has he made.
SOLUTION:
Lets extra point kicks made by Robbie be [tex]x[/tex]
points scored using extra point kick [tex]=1[/tex]
field goal kicks made by Robbie [tex]=66-x[/tex]
point scored using field goal kick [tex]=3[/tex]
Total points scored by Robbie [tex]=120[/tex]
Total points scored are the sum of points scored by extra point kicks and field goal kicks.
[tex]1\times x+(66-x)3=120[/tex]
[tex]198-2x=120[/tex]
[tex]2x=78[/tex]
[tex]x=39[/tex]
total extra point kicks [tex]=39[/tex]
total field goal kicks [tex]=66-39=27[/tex]
Hence Robbie made 39 and 27 kicks of extra point kick and field goal kicks respectively.
Answer:
39 extra point kicks were made and 27 field goals were made.
Step-by-step explanation:
We are given the following in the question:
Let x be the 1-point extra point kicks and y be the number of field goals.
Total number of kicks = 66
Thus, we can write the equation:
[tex]x + y = 66[/tex]
Total score = 120
Thus, we can write the equation:
[tex]x + 3y = 120[/tex]
Solving the equation, we get,
[tex]x + 3y-(x + y) = 120-66\\2y = 54\\\Rightarrow y = 27\\\Rightarrow x = 66-27 = 39[/tex]
Thus, 39 extra point kicks were made and 27 field goals were made.
