Charlie has $1000. He can buy his favorite chocolate bar for $1. And there is a promotion: for every 4 chocolate wrappers submitted, the store will give 1 chocolate bar.
What is the maximum number of chocolate bars Charlie can get?
Charlie can get a total of 1333 chocolate bars.
Step 1: Charlie buys 1000 bars. These 1000 wrappers can be exchanged for 1000/4 = 250 more bars.
Step 2: Charlie gets 250 bars, out of which 248 wrappers can be exchanged for 248/4 = 62 bars, and Charlie is left with 2 wrappers.
Step 3: Charlie has 62 bars. These wrappers, plus the 2 leftover wrappers, will make for 64 wrappers. They can be exchanged for 64/4 = 16 bars.
Step 4: Charlie has 16 bars, whose wrappers are then exchanged for 16/4 = 4 more bars.
Step 5: Charlie has 4 bars, whose wrappers are exchanged for 1 more bar.
Charlie does not have enough wrappers to get any more bars.
Adding all the bars gives: 1000 + 250 + 62 + 16 + 4 + 1 = 1333 bars