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Robbie, has scored 120 so far this season. He has scored all of his points on 1-point extra point kicks and 3-point field goals. He has made a total of 66 kicks. How many of each kick has he made?

2 Answers

5 votes

Answer:

39 extra point kicks were made and 27 field goals were made.

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:


x + y = 66

Total score = 120

Thus, we can write the equation:


x + 3y = 120

Solving the equation, we get,


x + 3y-(x + y) = 120-66\\2y = 54\\\Rightarrow y = 27\\\Rightarrow x = 66-27 = 39

Thus, 39 extra point kicks were made and 27 field goals were made.

User BObereder
by
7.1k points
5 votes

Answer:

39 and 27

Explanation:

GIVEN: Robbie, has scored
120 so far this season. He has scored all of his points on
1-point extra point kicks and
3-point field goals. He has made a total of
66 kicks.

TO FIND: How many of each kick has he made.

SOLUTION:

Lets extra point kicks made by Robbie be
x

points scored using extra point kick
=1

field goal kicks made by Robbie
=66-x

point scored using field goal kick
=3

Total points scored by Robbie
=120

Total points scored are the sum of points scored by extra point kicks and field goal kicks.


1* x+(66-x)3=120


198-2x=120


2x=78


x=39

total extra point kicks
=39

total field goal kicks
=66-39=27

Hence Robbie made 39 and 27 kicks of extra point kick and field goal kicks respectively.

User KrishPrabakar
by
8.4k points