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?(1 point)
____inches
Karen's height is 59 inches.
Let x be the height of Karen's older sister.
According to the information given, 59 inches is 27 inches more than half of her sister's height.
Therefore, we can write the equation:
59 = (x/2) + 27
Subtracting 27 from both sides:
59 - 27 = (x/2)
32 = (x/2)
Multiply both sides by 2:
64 = x
So, Karen's older sister is 64 inches tall.
Let's denote the height of Karen's older sister as "S". According to the information given, Karen's height is 59 inches which is 27 inches more than half her older sister's height.
We can set up the equation as follows:
Karen's height = 27 + (1/2) * Older sister's height
59 = 27 + (1/2) * S
To find the value of S, we can solve this equation.
First, subtract 27 from both sides of the equation:
59 - 27 = (1/2) * S
32 = (1/2) * S
To isolate S, multiply both sides of the equation by 2:
2 * 32 = 2 * (1/2) * S
64 = S
Therefore, Karen's older sister is 64 inches tall.
To find the height of Karen's older sister, we need to set up an equation based on the information provided.
Let's assume the height of Karen's older sister is "x" inches.
According to the problem, Karen's height is 27 inches more than half her older sister's height. Therefore, half of her older sister's height is (x/2) inches, and Karen's height is (x/2) + 27 inches.
Given that Karen's height is 59 inches, we can set up the equation as:
(x/2) + 27 = 59
To solve for x, we will isolate the term with x.
Subtracting 27 from both sides of the equation:
(x/2) = 59 - 27
(x/2) = 32
Now, we will multiply both sides of the equation by 2 to eliminate the fraction:
x = 32 * 2
x = 64
Therefore, Karen's older sister's height is 64 inches.