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?
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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 31.
Step 3: Perform multiplication for first quitters
Performing the multiplication, we find that 60÷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 20 elves quit from the initial 60, there are 60−20=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 10 from 40, we find that 30 elves are left.