The ratio of quarters to dimes in a coin collection is 5:3. You add the same number of new quarters as dimesto the collection. Is the ratio of quarters to dimes still 5 : 3

The ratio of quarters to dimes is not still 5 : 3Solution:Given that ratio of quarters to dimes in a coin collection is 5:3 . You add same number of new quarters as dimes to the collection .  Need to check if ratio of quarters to dimes is still 5 : 3 As ratio of dimes and quarters is 5 : 3lets assume initially number of quarters = 5x and number of dimes = 3x. Now add same number of new quarters as dimes to the collection Let add "x" number of quarters and "x" number of dimesSo After adding, Number of quarters = initially number of quarters + added number of quarters = 5x + x = 6x Number of dimes = initially number of dimes + added number of dimes= 3x + x = 4x New ratio of quarters to dimes is 6x : 4x = 3 : 2So we have seen here ratio get change when same number of new quarters and dimes is added to the collectionRatio get change from 5 : 3 when same number of new quarters and dimes is added to the collection and new ratio will depend on number of quarters and dimes added to collection.