Illustrate a scene with three players on a basketball court in action. One player, Adam, an East Asian man in blue, is jumping high with the ball as if he just scored a shot. Another, Imran, a South Asian man in green, is clapping in celebration of Adam's point but looking slightly less elated. The third, Shakeel, a Hispanic man in red, is scoring a dramatic slam dunk, representing twice the gusto.

1)Adam scored x points

2)Imran scored 3 points fewer than Adam
3)Shakeel scored twice as many points as Imran
Together they scored 39 points.
a)How do i write in terms of x, an expression for the number of points scored by Shakeel?
b)How do i write an equation which may be used to find the value of x?

From the information you provided:

Adam = x
Imram = x - 3
Shakeel = 2x

x + (x-3) + 2x = 39

I hope this helps. Thanks for asking.

Let x = Adam's points

Imram's ponts = x - 3
Shakeel's points = 2(Imram's points)
or 2(x-3)
totaling
x + (x - 3) + 2(x-3) = 39

How did you get the 12

x + (x-3) + 2(x-3)=39

x+ (x-3) +2x - 6=39
x+x+2x-3-6=39
4x-9=39

Moving the -9 over the equal sign,you now have:
4x= 39+9
4x= 48
48รท4= 12

Great explanation! That's how we got the answer of x=12.

To solve this problem, let's break it down step by step:

a) To find the number of points scored by Shakeel, we are given that Shakeel scored twice as many points as Imran. And we know that Imran scored 3 points fewer than Adam. So, let's express Shakeel's score in terms of x.

Imran's score = Adam's score - 3
Shakeel's score = 2 * Imran's score

Substituting Imran's score in terms of Adam's score into Shakeel's score equation, we get:

Shakeel's score = 2 * (Adam's score - 3)
Shakeel's score = 2 * (x - 3)
Shakeel's score = 2x - 6

Therefore, the expression for the number of points scored by Shakeel in terms of x is 2x - 6.

b) To write an equation that can be used to find the value of x, we need to add up the scores of Adam, Imran, and Shakeel, which should equal to 39 points.

Adam's score = x
Imran's score = Adam's score - 3 = (x - 3)
Shakeel's score = 2 * Imran's score = 2(x - 3) = 2x - 6

Adding up the scores:

Adam's score + Imran's score + Shakeel's score = x + (x - 3) + (2x - 6)

Setting this equation equal to 39, we get:

x + (x - 3) + (2x - 6) = 39

Now you can simplify and solve this equation to find the value of x.

x=12