Q:

Ali has a 64 gram bar of chocolate. on day 1 he eats half of his chocolate. on day 2 he eats half of what is left. he does the same each day. a. when will he have only 1 gram left? b. how much would a bar of chocolate need to weigh to last All 14 days?​

Accepted Solution

A:
Answer:A: Day 6B: 8196 grams (He will become obese for sure) Step-by-step explanation:Part A:As you can infer from the problem, Ali halves his bar everyday, regardless of how the bar is. Day 1= 32 grams leftDay 2= 16 grams leftDay 3= 8 grams leftDat 4= 4 grams leftDay 5= 2 grams leftDay 6=1 gram leftHe will have one gram left on Day 6Part B:This part is basically vice versa. Instead on halving, we need to be doubling. I will do Part a in reverse until Day 14 comesDay 1= 1Day 2= 2Day 3= 4Day 4= 8Day 5= 16Day 6= 32Day 7 = 64Day 8= 128Day 9= 256Day 10= 512Day 11= 1024Day 12= 2048Day 13= 4096Day 14= 8192He will need 8192 grams of chocolate!!!