Question
Karen measured her height as 59 inches. That is 27 inches more than half her older sister’s height. How tall is her older sister?
Step 1: Let's denote Karen's older sister's height as "x".
Step 2: We know that Karen's height is 59 inches, which is 27 inches more than half her older sister's height.
Step 3: We can set up an equation to represent this information:
59 = (1/2)x + 27.
Step 4: To solve for x, we need to isolate the variable on one side of the equation.
Subtracting 27 from both sides of the equation, we get:
59 - 27 = (1/2)x.
Simplifying further, we have:
32 = (1/2)x.
Step 5: To solve for x, we can multiply both sides of the equation by 2:
2 * 32 = 2 * (1/2)x.
This simplifies to:
64 = x.
Step 6: Therefore, Karen's older sister is 64 inches tall.
To find out how tall Karen's older sister is, we need to first determine half of Karen's sister's height, and then add 27 inches to it.
Let's assume Karen's sister's height is represented by the variable "x". According to the information given, Karen's height is 59 inches, which is 27 inches more than half her sister's height.
The first step is to find half of Karen's sister's height. We can express this mathematically as:
(x/2)
Next, we add 27 inches to half of Karen's sister's height to get Karen's height:
(x/2) + 27 = 59
Now, we can solve this equation to find the value of "x", which represents Karen's sister's height.
To isolate the variable, we can start by subtracting 27 from both sides of the equation:
(x/2) = 59 - 27
(x/2) = 32
To cancel out the division by 2, we can multiply both sides of the equation by 2:
2 * (x/2) = 2 * 32
x = 64
Therefore, Karen's older sister's height is 64 inches.
To find out how tall Karen's older sister is, we need to first find out half of Karen's height and then subtract 27 inches from it.
Half of Karen's height = 59 inches / 2 = 29.5 inches
Karen's older sister's height = Half of Karen's height - 27 inches = 29.5 inches - 27 inches = 2.5 inches.
Karen's older sister is 2.5 inches tall.