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?
____inches
Let's work through this step by step.
Step 1: We know that Karen's height is 59 inches.
Step 2: We need to find half of her older sister's height.
Step 3: We can use the formula (1/2) * Older Sister's Height = Karen's Height - 27 inches to find the older sister's height.
Step 4: Substituting the known values into the formula, we have (1/2) * Older Sister's Height = 59 inches - 27 inches.
Step 5: Simplifying the right side of the equation, we have (1/2) * Older Sister's Height = 32 inches.
Step 6: To isolate "Older Sister's Height", we can multiply both sides of the equation by 2, which gives us Older Sister's Height = 64 inches.
Therefore, Karen's older sister is 64 inches tall.
Let's first find half of Karen's height by subtracting 27 inches from her height: 59 inches - 27 inches = <<59-27=32>>32 inches
Therefore, Karen's older sister is 32 inches tall. Answer: \boxed{32}.
To find out how tall Karen's older sister is, we can work through the information provided step by step.
First, we know that Karen's height is 59 inches.
Next, we are told that Karen's height is 27 inches more than half her older sister's height. So, let's express this information as an equation:
Karen's height = (1/2) × Karen's older sister's height + 27 inches
To find Karen's older sister's height, we can rearrange the equation:
(1/2) × Karen's older sister's height = Karen's height - 27 inches
Now, substitute the known value of Karen's height:
(1/2) × Karen's older sister's height = 59 inches - 27 inches
Simplify the right side of the equation:
(1/2) × Karen's older sister's height = 32 inches
To solve for Karen's older sister's height, we need to get rid of the fraction (1/2) by multiplying both sides of the equation by 2:
2 × (1/2) × Karen's older sister's height = 2 × 32 inches
The (1/2) on the left side cancels out, leaving:
Karen's older sister's height = 64 inches
Therefore, Karen's older sister is 64 inches tall.