Question

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?

Answer 1

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.

Answer 2

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.