College

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.

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 verify Roberto's subtraction calculation, we will check each equation provided to see if it holds true. Let's go through them step-by-step:

1. Equation: [tex]\(197 + 55 = 252\)[/tex]
- Roberto has already delivered 197 newspapers and he has 55 left. If you add these two numbers, it should equal the total number of newspapers he had to deliver in the beginning.
- Adding 197 and 55 indeed gives 252. Thus, this equation is correct.

2. Equation: [tex]\(197 - 55 = 142\)[/tex]
- This equation is not relevant for verifying how many newspapers are left, since it subtracts the number left from the number already delivered.

3. Equation: [tex]\(252 - 55 = 197\)[/tex]
- This equation shows subtracting the newspapers left to deliver from the total gives the count already delivered.
- Subtracting 55 from 252 gives 197, confirming that Roberto has already delivered the correct number of newspapers. Thus, this equation is correct.

4. Equation: [tex]\(252 + 197 = 449\)[/tex]
- This equation calculates something unrelated to our problem, as it adds the total newspapers to the already delivered newspapers instead of verifying the logic.

5. Equation: [tex]\(55 + 55 = 110\)[/tex]
- This does not relate to the problem; it's simply an unrelated mathematical statement.

Therefore, the correct equations that Roberto can use to verify that he has 55 newspapers left to deliver are:
- [tex]\(197 + 55 = 252\)[/tex]
- [tex]\(252 - 55 = 197\)[/tex]

These equations confirm his calculations are correct.