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There are 
20% more goblins than wizards in magic club. There are 120 goblins in magic club.
How many wizards are in the magic club?
wizards

There are 20% 20 \% more goblins than wizards in magic club. There are 120120 goblins in magic club.\newlineHow many wizards are in the magic club?\newlinewizards

Full solution

Q. There are 20% 20 \% more goblins than wizards in magic club. There are 120120 goblins in magic club.\newlineHow many wizards are in the magic club?\newlinewizards
  1. Understand the problem: Understand the problem.\newlineWe know that there are 20%20\% more goblins than wizards in the magic club, and there are 120120 goblins in the club. We need to find out how many wizards there are.
  2. Convert to decimal: Convert the percentage to a decimal to use in calculations.\newline20%20\% as a decimal is 0.200.20.
  3. Calculate number of wizards: Calculate the number of wizards based on the number of goblins. If there are 20%20\% more goblins than wizards, then the number of wizards is the number of goblins divided by 11 plus the percentage increase (in decimal form). Number of wizards =Number of goblins1+0.20= \frac{\text{Number of goblins}}{1 + 0.20}
  4. Perform the calculation: Perform the calculation using the number of goblins.\newlineNumber of wizards = 120(1+0.20)\frac{120}{(1 + 0.20)}\newlineNumber of wizards = 1201.20\frac{120}{1.20}\newlineNumber of wizards = 100100