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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?

 Jun 10, 2022
 #1
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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

 

 

cool cool cool

 Jun 10, 2022
edited by CPhill  Jun 10, 2022
 #3
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oops, fat-fingered the keyboard, Chris. 

 

"172 + 7  =   178"  

 

no it ain't ... you meant 172 + 6   of course  

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Guest Jun 10, 2022
 #2
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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 

.

 Jun 10, 2022

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