against the lady huskies, the lady bears scored 74 points on 33 field goals (2- and 3-point goals). how many 2-point goals and how many 3-point goals did they make?



Answer :

They make 25 (2-point) goals and 8 (3-point) goals respectively.

Let us solve this problem with the equation.

We know from the problem that the total number of field goals is 33.

Consider a 2-point goal as X and the 3-point goal as Y.

So our first equation will be =

X+Y=33

And the total number of points is 74. So our second equation will be =

2X+3Y= 74

On solving both equations we will get

X=25 and Y=8 which is the value of a 2-point goal and a 3-point goal respectively.

So, they will make 25 field goals as 2-point goals and 8 field goals as a 3-point goals.

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