Question

"Shauna is 10 inches shorter than Ryan. Together their heights total 11 feet 8 inches, which is equivalent to 140 inches. How tall is each person in inches?"

Answer 1

By setting up a system of equations and solving for R (Ryan's height), we find that Ryan is 75 inches tall and Shauna is 65 inches tall.

Step-by-step explanation:

To solve the question 'Shauna is 10 inches shorter than Ryan. Together their heights total 11 feet 8 inches, which is equivalent to 140 inches. How tall is each person in inches?', we can set up a system of equations. First, let's assign a variable to represent Ryan's height in inches, we'll use R, and since Shauna is 10 inches shorter, her height will be R - 10 inches.

According to the problem, their combined height is 140 inches. Thus, we can write the equation:

• R + (R - 10) = 140

Now, let's solve for R:

• 2R - 10 = 140
• 2R = 140 + 10
• 2R = 150
• R = 150 / 2
• R = 75

So Ryan is 75 inches tall. To get Shauna's height, subtract 10 inches from Ryan's height:

• S = R - 10
• S = 75 - 10
• S = 65 inches

Thus, Ryan is 75 inches tall, and Shauna is 65 inches tall.