Jason weighs 36 pounds. Together, he and his sister weigh four pounds more than three times the weight of his sister. What is the weight, w, of Jason's sister?
Well, it sounds like Jason's sister's weight is a mystery. Let's solve it, shall we?
Let's assume the weight of Jason's sister is "w" pounds.
According to the information given, Jason and his sister together weigh four pounds more than three times the weight of his sister, so that would be 3w + 4 pounds in total.
We also know that Jason weighs 36 pounds.
So, 3w + 4 = 36, and by doing a little math magic, we can solve for w to find the weight of Jason's sister.
3w = 36 - 4
3w = 32
w = 32/3
Now, w = 10 and 2/3 pounds.
So, the weight of Jason's sister is approximately 10.67 pounds.
Let's assume the weight of Jason's sister is w pounds. According to the problem, Jason weighs 36 pounds, and together they weigh four pounds more than three times the weight of his sister.
So, the equation for their combined weight can be written as: 36 + w = 3w + 4.
To solve this equation, subtract w from both sides: 36 = 2w + 4.
Next, subtract 4 from both sides: 36 - 4 = 2w.
Simplifying further, we have: 32 = 2w.
Finally, divide both sides by 2: w = 16.
Therefore, the weight of Jason's sister, w, is 16 pounds.
To solve this problem, let's first represent the unknown weight of Jason's sister as "w". From the given information, we know that Jason weighs 36 pounds.
We are also told that together, Jason and his sister weigh four pounds more than three times the weight of his sister. Mathematically, we can express this as:
36 + w = 3w + 4
To isolate the variable "w" on one side of the equation, we can subtract w from both sides:
36 = 2w + 4
Next, subtracting 4 from both sides:
32 = 2w
To solve for w, divide both sides of the equation by 2:
w = 16
Therefore, Jason's sister weighs 16 pounds.
36 + w = 3w + 4
Solve for w.