Nissa hires 60 seasonal workers to play elves in her department store's Santa village. A third of the elves quit after children vomit on them, then 10 of the remaining elves quit after kids kick their shins. How many elves are left?

Answer: 30 elves are left.

Step-by-step solution

Step 1: Calculate initial number of elves

Nissa initially hires 60 seasonal workers to play elves. This is our starting number of elves.

Step 2: Calculate elves who quit first

A third of the elves quit after children vomit on them. To find this number, we multiply the total number of elves by 13\frac{1}{3}.

Step 3: Perform multiplication for first quitters

Performing the multiplication, we find that 60÷3=2060 \div 3 = 20 elves quit in the first round.

Step 4: Calculate remaining elves after first group quits

To find out how many elves are left after the first group quits, we subtract the number of elves who quit from the initial number of elves.

Step 5: Perform subtraction for first remaining elves

After 2020 elves quit from the initial 6060, there are 60−20=4060 - 20 = 40 elves remaining.

Step 6: Calculate elves who quit second

From the remaining elves, an additional 10 elves quit after kids kick their shins. This is a fixed number given in the problem.

Step 7: Calculate final remaining elves

To find the final number of elves left, we subtract the second group of quitters from the elves remaining after the first group quit.

Step 8: Perform final subtraction

Subtracting 1010 from 4040, we find that 3030 elves are left.

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