Three brothers divide 17 candy bars. The oldest child gets 1/2, the middle child 1/3, and the youngest child 1/9. So that they do not have to cut any bars, Mom provides an extra one. The oldest chidl then takes 9 candy bars, the middle child 6, and the youngest 2, and they return the extra one. Which child received more than his fair share?
The oldest brother gets half a candy bar extra.
can someone explain that??? because if you do 1/2 of 17, 1/3 of 17, and 1/9 of 17 than compare it to what they actually got...they ALL got more than their fair share... is that the answer than? how is it just the oldest???
Well it means which got the most extra so ya it would be the oldest.
so what is the answeR?
To find out which child received more than his fair share of candy bars, we need to determine the fair share for each child first.
Let's start with the oldest child. We are told that the oldest child gets half of the total number of candy bars. Since we have 17 candy bars (including the extra one), the oldest child's fair share would be 1/2 * 17 = 8.5 candy bars.
Next, let's calculate the fair share for the middle child. The middle child receives one-third of the total candy bars. Thus, the fair share for the middle child would be 1/3 * 17 = 5.67 candy bars.
Lastly, let's determine the fair share for the youngest child. The youngest child gets one-ninth of the total candy bars. Therefore, the fair share for the youngest child would be 1/9 * 17 = 1.89 candy bars.
Now, let's compare each child's fair share with the number of candy bars they actually received.
The oldest child received 9 candy bars, which is greater than his fair share of 8.5. Therefore, the oldest child received more than his fair share.
The middle child received 6 candy bars, which is less than his fair share of 5.67. Therefore, the middle child received less than his fair share.
The youngest child received 2 candy bars, which is less than his fair share of 1.89. Therefore, the youngest child received less than his fair share.
In conclusion, the oldest child received more than his fair share of candy bars.