Question

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

Answer 1

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Here is your answer
Let the number of wizards is x
20% more gobins than wizards.
ATQ
$x + \frac{20}{100} \times x = 120 \\ x + \frac{x}{5} = 120 \\ \frac{5x + x}{5} = 120 \\ \frac{6x}{5} = 120 \\ x = \frac{120 \times 5}{6} \\ x = 20 \times 5 \\ x = 100$
Hence Numbers of wizards are 100 in a magic club.

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Answer 2

Answer:

wizards are in the magic club is 100

Step-by-step explanation:

As per the data given in the question

we have to calculate numbers of wizards are in the magic club.

As per the questions it is given that 20% percent more goblins than wizards in magic club. There are 120 goblins in magic club.

First we can assume that if there is 20% of goblins then there would be 80% wizards. The percent in total has to add to 100.

Based on given condition, formulate $\frac{120}{1+0.2}$

Calculate sum = $\frac{120}{1.2}$

convert decimal to fraction $\frac{120}{\frac{12}{10} }$

Reduce the fraction into lowest term by cancelling GCF = $\frac{120}{\frac{6}{5} }$

Divide the fraction by multiplying reciprocal.=120×$\frac{5}{6}$

Reduce expression to its lowest term 20×5

calculate the product =100

Hence, wizards are in the magic club is 100

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