To determine which of the given choices can be used to check the answer in the equation [tex]\( 205 - 110 = 95 \)[/tex], let's examine each option step-by-step.
1. For the choice [tex]\( 205 + 95 = 300 \)[/tex]:
- Here we are adding 205 and 95.
- The result is 300.
2. For the choice [tex]\( 205 + 110 = 315 \)[/tex]:
- Here we are adding 205 and 110.
- The result is 315.
3. For the choice [tex]\( 205 + 110 + 95 = 410 \)[/tex]:
- Here we are adding 205, 110, and 95.
- The result is 410.
4. For the choice [tex]\( 110 + 95 = 205 \)[/tex]:
- Here we are adding 110 and 95.
- The result is 205.
Now, let's consider which of these results help us verify the equation [tex]\( 205 - 110 = 95 \)[/tex]:
1. [tex]\( 205 + 95 = 300 \)[/tex]: This equation doesn't directly relate to [tex]\( 205 - 110 = 95 \)[/tex]. It is simply the sum of 205 and 95.
2. [tex]\( 205 + 110 = 315 \)[/tex]: This equation doesn't directly relate to [tex]\( 205 - 110 = 95 \)[/tex]. It is simply the sum of 205 and 110.
3. [tex]\( 205 + 110 + 95 = 410 \)[/tex]: This equation combines all the numbers but doesn't directly relate to [tex]\( 205 - 110 = 95 \)[/tex]. It is simply the sum of 205, 110, and 95.
4. [tex]\( 110 + 95 = 205 \)[/tex]: This equation, however, is directly connected. If you add 110 and 95, the result is 205. This shows that if you subtract 110 from 205, you should get 95, because the sum of 110 and 95 is precisely 205. This confirms our original equation [tex]\( 205 - 110 = 95 \)[/tex].
Therefore, the choice [tex]\( 110 + 95 = 205 \)[/tex] can be used to check the answer in the equation [tex]\( 205 - 110 = 95 \)[/tex].
