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Which one of the following choices does ...

Which one of the following choices does not equal any of the other choices?

A

5.43 + 4.63 - 3.24 - 2.32

B

5.53 + 4.73 - 3.34 - 2.42

C

5.53 + 4.53 - 3.34 - 2.22

D

5.43 + 4.73 - 3.14 - 2.22

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to calculate the values of each option and determine which one does not equal the others. ### Step-by-Step Solution: 1. **Calculate Option A:** \[ \text{Option A} = 5.43 + 4.63 - 3.24 - 2.32 \] - First, add \(5.43\) and \(4.63\): \[ 5.43 + 4.63 = 10.06 \] - Next, subtract \(3.24\): \[ 10.06 - 3.24 = 6.82 \] - Finally, subtract \(2.32\): \[ 6.82 - 2.32 = 4.50 \] - Therefore, Option A equals \(4.50\). 2. **Calculate Option B:** \[ \text{Option B} = 5.53 + 4.73 - 3.34 - 2.42 \] - First, add \(5.53\) and \(4.73\): \[ 5.53 + 4.73 = 10.26 \] - Next, subtract \(3.34\): \[ 10.26 - 3.34 = 6.92 \] - Finally, subtract \(2.42\): \[ 6.92 - 2.42 = 4.50 \] - Therefore, Option B equals \(4.50\). 3. **Calculate Option C:** \[ \text{Option C} = 5.53 + 4.53 - 3.34 - 2.22 \] - First, add \(5.53\) and \(4.53\): \[ 5.53 + 4.53 = 10.06 \] - Next, subtract \(3.34\): \[ 10.06 - 3.34 = 6.72 \] - Finally, subtract \(2.22\): \[ 6.72 - 2.22 = 4.50 \] - Therefore, Option C equals \(4.50\). 4. **Calculate Option D:** \[ \text{Option D} = 5.43 + 4.73 - 3.14 - 2.22 \] - First, add \(5.43\) and \(4.73\): \[ 5.43 + 4.73 = 10.16 \] - Next, subtract \(3.14\): \[ 10.16 - 3.14 = 7.02 \] - Finally, subtract \(2.22\): \[ 7.02 - 2.22 = 4.80 \] - Therefore, Option D equals \(4.80\). ### Conclusion: After calculating all options: - Option A = \(4.50\) - Option B = \(4.50\) - Option C = \(4.50\) - Option D = \(4.80\) Thus, the option that does not equal any of the other choices is **Option D**.
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