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

Answer:

39 and 27

Step-by-step 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.

$1\times x+(66-x)3=120$

$198-2x=120$

$2x=78$

$x=39$

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.

Answer 2

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:

$x + y = 66$

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.