Please I just need help on the set up teacher wants a guess and check table.
Thomas is thinking of a number. If he doubles his number and subtraction 27, the results is 407. Of what number is Thomas thinking?
So we know that the result of doubling a number and subtracting 27 gives 407. Since your teacher wants a guess and check table, let's just start guessing numbers around the 200 mark, since we know double the number at some point.
no need for guessing, just reverse the steps:
the first thing we did was multiply by 2, then subtract 27 to get 407
So everything done in reverse:
( 407+27) divide by 2
= 434 รท 2
= 217
To solve this problem using a guess and check table, you can follow these steps:
Step 1: Set up a table with the columns "Number" and "Result".
Step 2: Fill in the "Number" column with a range of potential numbers that Thomas might be thinking of. You can start with numbers close to the given result (407) for convenience.
Step 3: For each number in the "Number" column, double the number and subtract 27 to find the corresponding result. Fill in the "Result" column with these values.
Step 4: Look for the row in the table where the result matches the given value (407).
Here's an example:
Number | Result
----------------
200 | 373
201 | 375
202 | 377
203 | 379
204 | 381
205 | 383
206 | 385
207 | 387
208 | 389
209 | 391
210 | 393
211 | 395
212 | 397
213 | 399
214 | 401
215 | 403
216 | 405
217 | 407
From the table, we see that when Thomas is thinking of the number 217, doubling the number and subtracting 27 gives a result of 407. So, the number Thomas is thinking of is 217.