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Roberto delivers 252 newspapers each morning. This morning, he has already delivered 197. He subtracts to find that he has 55 left to deliver today.

\[
\begin{array}{r}
252 \\
-197 \\
\hline
55 \\
\end{array}
\]

Which equations can he use to verify his calculation? Check all that apply.

- [tex]197 + 55 = 252[/tex]
- [tex]197 - 55 = 142[/tex]
- [tex]252 - 55 = 197[/tex]
- [tex]252 + 197 = 449[/tex]
- [tex]55 + 55 = 110[/tex]

Answer :

To determine which equations Roberto can use to verify his calculation, let's analyze the given options:

1. Equation: [tex]\( 197 + 55 = 252 \)[/tex]
- This equation is checking if the newspapers Roberto has already delivered (197) plus the newspapers left to deliver (55) equals the total number of newspapers (252).
- This calculation checks out, so this equation can be used to verify the solution.

2. Equation: [tex]\( 197 - 55 = 142 \)[/tex]
- This equation does not relate to the problem Roberto faces, which is checking if the sum of delivered and left newspapers equals the total. It simply subtracts newspapers left from those already delivered, resulting in 142, which isn't relevant to the verification needed.
- This equation cannot be used to verify the solution.

3. Equation: [tex]\( 252 - 55 = 197 \)[/tex]
- This equation checks if subtracting the newspapers left to deliver (55) from the total newspapers (252) results in the number already delivered (197).
- This is correct and can be used to verify the solution.

4. Equation: [tex]\( 252 + 197 = 449 \)[/tex]
- This adds the total number of newspapers to the number already delivered, resulting in 449, which doesn't make sense for this context.
- This equation cannot be used to verify the solution.

5. Equation: [tex]\( 55 + 55 = 110 \)[/tex]
- This equation checks if doubling the newspapers left to deliver equals 110. While it's a true statement, it doesn't address the context of verifying Roberto's delivery and has no relevance to the problem.
- Despite it being mathematically correct, this equation does not verify the calculation Roberto did.

Therefore, the equations that Roberto can use to verify his calculation are:
- [tex]\( 197 + 55 = 252 \)[/tex]
- [tex]\( 252 - 55 = 197 \)[/tex]
- [tex]\( 55 + 55 = 110 \)[/tex]

These are the true statements when it comes to verifying Roberto's newspaper delivery calculation.

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