Hannah's math teacher put a cup filled with jellybeans on her desk. She then asked everyone to guess how many beans were in the jar. Amanda guessed 193 and was off by 15. Wendy guessed 174 and was off by 4. Emma guessed 198 and was off by 20. Connor guessed 181 and was off by 3. Jason guessed 172 and was off by 6. Jenna guessed 168 and was off by 10. Can you figure out how many beans are really in the jar?
Hannah's math teacher put a cup filled with jellybeans on her desk. She then asked everyone to guess how many beans were in the jar. Amanda guessed 193 and was off by 15. Wendy guessed 174 and was off by 4. Emma guessed 198 and was off by 20. Connor guessed 181 and was off by 3. Jason guessed 172 and was off by 6. Jenna guessed 168 and was off by 10. Can you figure out how many beans are really in the jar?
178
Proof
193 - 15 = 178
174 + 4 = 178
198 - 20 = 178
181 - 3 = 178
172 + 6 = 178
168 + 10 = 178
Hannah's math teacher put a cup filled with jellybeans on her desk. She then asked everyone to guess how many beans were in the jar. Amanda guessed 193 and was off by 15. Wendy guessed 174 and was off by 4. Emma guessed 198 and was off by 20. Connor guessed 181 and was off by 3. Jason guessed 172 and was off by 6. Jenna guessed 168 and was off by 10. Can you figure out how many beans are really in the jar?
Pluck this out of the middle, it's all you need.
Wendy guessed 174 and was off by 4.
Connor guessed 181 and was off by 3.
If the correct answer was higher than 181,
then 174 would have to be off more than 4,
because 181 and 174 are already apart by 7,
so the correct answer has to be 3 less than 181.
181 – 3 = 178
.