Question

Adam, Imran and Shakeel were playing a card game.

Adam scored x points
Imran scored 3 points fewer than Adam
Shakeel scored twice as many points as Imran
Together they scored 39 points.
Write down, in terms of x, an expression for the number of points scored by
Shakeel.
Write an equation which may be used to find the value of x.

Answer 1

Answer: x = 12

Step-by-step explanation:

Adam scored x points = (x)

Imran scored 3 points fewer than Adam = (x-3)

Shakeel scored twice as many points as Imran = 2(x-3)

Together they scored 39 points. = 39

1. x + (x-3) + 2(x-3) = 39
2. x + (x-3) + (2x-6) = 39 [Multiply 2*x & 2x-3]
3. +3 +3 [Add 3 to both sides]
4. x + (x) + (2x-6) = 42
5. +6 +6 [Add 6 to both sides]
6. x + (x) + (2x) = 48
7. 4x = 48 [Combine like terms]
8. /4 /4 [Divide both sides by 4]
9. x = 12

**Check your work by inputting substituting 12 for x:

• 12 + (12 - 3) + 2(12-3) = 39
• 12 + 9 + (24-6) = 39
• 12 + 9 + 18 = 39
• 39 = 39