Question

Narcisse and Aristide have numbers of arcade tokens in the ratio 7 : 3, respectively. Narcisse gives Aristide some of his tokens, and the new ratio is 6 : 5. What is the least number of tokens that Narcisse could have given to Aristide?

Answer 1

The least number of tokens that Narcisse could have given to Aristide are: 3

Explanation:

Narcisse gives an "X" amount of the 7 tokens he initially had to aristide, which are added up to the 3 tokens that Aristide had. After that transaction the ratio changes from 7: 3 to 6: 5

`(7-X)/(3+X)=(5)/(6)`

`6*(7-X) = (X+3)*5`

42-6X=5X+15

33=11X

X=3