Question
Mary is 65.3 inches tall and her sister Tonya is 68 inches tall. Tonya wants to know how many inches taller she is than mary. Which equation and solution can be used to solve this problem?
Correct equation: _
A. x + 68 = 65.3
B. 65.3 - x = 68
C. x - 65.3 = 68
D. 65.3 + x = 68
How to solve: _
A. subtract 65 from both sides of the equation
B. add 68 to both sides of the equation
C. subtract 65.3 from both sides of the equation
D. add 65.3 to both sides of the equation.
Correct answer: _
A. 2.7 inches
B. 133.3 inches
Correct equation: _
A. x + 68 = 65.3
B. 65.3 - x = 68
C. x - 65.3 = 68
D. 65.3 + x = 68
How to solve: _
A. subtract 65 from both sides of the equation
B. add 68 to both sides of the equation
C. subtract 65.3 from both sides of the equation
D. add 65.3 to both sides of the equation.
Correct answer: _
A. 2.7 inches
B. 133.3 inches
Answers
GPT-4o mini
To find out how many inches taller Tonya is than Mary, we can set up the correct equation based on their heights.
Tonya's height is 68 inches, and Mary's height is 65.3 inches. We want to find out the difference (T - M) in inches.
The correct equation would represent the height difference as:
\[ x = \text{Tonya's height} - \text{Mary's height} \]
So, it can be reflected as:
\[ x = 68 - 65.3 \]
Now, looking at the options provided:
- None of the options given seems to directly represent the equation \( x = 68 - 65.3 \), but we can analyze the options based on what they imply.
Let's determine which option represents a valid approach to finding the difference:
1. **A. x + 68 = 65.3** - This does not make sense since adding to Tonya's height cannot equal Mary's height.
2. **B. 65.3 - x = 68** - This incorrectly suggests that Mary's height minus some value equals Tonya's height.
3. **C. x - 65.3 = 68** - This implies that subtracting Mary's height from a number gives Tonya's height, which isn't correct.
4. **D. 65.3 + x = 68** - This suggests adding to Mary's height to equal Tonya's height, which is misleading.
Since none of these equations allow us to find how many inches taller Tonya is than Mary directly, the best approach is to interpret the intention:
To find out how much taller Tonya is than Mary:
\[ x = 68 - 65.3 \]
\[ x = 2.7 \]
**So, the answer should correctly be:**
Correct equation: \( x = \text{Tonya's height} - \text{Mary's height} \) or informally talking, option D does have the right elements but not in direct form.
How to solve: C. subtract 65.3 from both sides of the equation.
Correct answer: **2.7 inches** (as Tonya is 2.7 inches taller than Mary).
Hence, final answer completion:
Correct equation: None of the listed options are perfectly correct.
How to solve: C. subtract 65.3 from both sides of the equation.
Correct answer: **2.7 inches**.
Tonya's height is 68 inches, and Mary's height is 65.3 inches. We want to find out the difference (T - M) in inches.
The correct equation would represent the height difference as:
\[ x = \text{Tonya's height} - \text{Mary's height} \]
So, it can be reflected as:
\[ x = 68 - 65.3 \]
Now, looking at the options provided:
- None of the options given seems to directly represent the equation \( x = 68 - 65.3 \), but we can analyze the options based on what they imply.
Let's determine which option represents a valid approach to finding the difference:
1. **A. x + 68 = 65.3** - This does not make sense since adding to Tonya's height cannot equal Mary's height.
2. **B. 65.3 - x = 68** - This incorrectly suggests that Mary's height minus some value equals Tonya's height.
3. **C. x - 65.3 = 68** - This implies that subtracting Mary's height from a number gives Tonya's height, which isn't correct.
4. **D. 65.3 + x = 68** - This suggests adding to Mary's height to equal Tonya's height, which is misleading.
Since none of these equations allow us to find how many inches taller Tonya is than Mary directly, the best approach is to interpret the intention:
To find out how much taller Tonya is than Mary:
\[ x = 68 - 65.3 \]
\[ x = 2.7 \]
**So, the answer should correctly be:**
Correct equation: \( x = \text{Tonya's height} - \text{Mary's height} \) or informally talking, option D does have the right elements but not in direct form.
How to solve: C. subtract 65.3 from both sides of the equation.
Correct answer: **2.7 inches** (as Tonya is 2.7 inches taller than Mary).
Hence, final answer completion:
Correct equation: None of the listed options are perfectly correct.
How to solve: C. subtract 65.3 from both sides of the equation.
Correct answer: **2.7 inches**.