Question

Against the Lady Huskies, the Lady Bears scored 65 points on 30 field goals (2- and 3-point goals). How many 2-point goals and how many 3-point goals did they make?

Answer 1

Answer:

The team scored 25 2-point goals and 5 3-point goals

Step-by-step explanation:

Here, we are interested in calculating the number of 3 points and 2 points goals scored by the team

let the number of two point goals be x while the number of three point goals be y

The total goal number is 30;

Hence;

x + y = 30 ••••••(i)

Also, the total point is 65

point of two points goals is 2 * x = 2x

points of three point goal is 3 * y = 3y

Adding both;

2x + 3y = 65 ••••••(ii)

So we have two equations to solve simultaneously.

From 1, x = 30 -y

Now substitute this into ii

2(30-y) + 3y = 65

60 -2y + 3y = 65

y = 65 -60

y = 5

x = 30 - y

x = 30-5 = 25