Answer: her weekly allowance= 16
Explanation:
Imani spent half of her weekly allowance playing golf.
Let her weekly allowance be x
Imani spent x/2 playing golf.
Her parents gave her 4.00 for washing car. This means she has additional 4 .00 for washing car besides x
She has a total of x + 4
What was her weekly allowance if she had 12.00 left? This means after spending x/2 on playing golf, she still had 12.00 left from the total of (x +4)
That is
(x +4) - x/2 = 12
Taking LCM of 2 on the left hand side
2(x+4)-x =12
(2x + 8 - x)/2 =12
2x - x +8 = 12×2 = 24
x +8= 24
x = 24-8 = 16
her weekly allowance= 16
Check
16/2)+4 = 12(what she had left)