56.5k views
1 vote
Alex, jessica, calvin, paul, and liz decide to share six kit kat candy bars equally among themselves. alex says that each person will get 1 1/5 of a candy bar. jessica says each person will get 6/30 of a candy bar. who is correct and how do you know? explain how each response is either correct or incorrect

User SGR
by
7.7k points

1 Answer

3 votes

Final answer:

Alex is correct because dividing six Kit Kats by five people gives 1 1/5 candy bars per person. Jessica's response of 6/30 per person is incorrect because 6/30 simplifies to 1/5, which is only a fraction of the correct amount.

Step-by-step explanation:

When Alex, Jessica, Calvin, Paul, and Liz decide to share six Kit Kat candy bars equally, the number of candy bars per person can be calculated by dividing the total number of candy bars (6) by the number of people (5). Thus, 6 ÷ 5 equals 1.2, or 1 1/5 candy bars per person. This means Alex is correct.

Now, let's examine Jessica's claim. Jessica says each person will get 6/30 of a candy bar. To assess this, we recognize that 6/30 simplifies to 1/5. Since 1/5 is the same as 0.2, and each person gets 1.2 candy bars, Jessica's claim represents just a fraction of what each person should get. So, Jessica's response is incorrect.

In conclusion, each person will receive 1 1/5 of a candy bar, validating Alex's response and disproving Jessica's claim.

User Lorin Hochstein
by
7.9k points