Question

A purse contains a total of $15$ coins, all of which are either dimes or nickels. If value of the collection is 1.20$, how many are dimes and how many are nickels?

Answer 1

• nickel means $5$-cent coin and dimes means $10$-cent coin
• let the number of nickels be $x$ and number of dimes be $y$
• so we have $x+y=15$ and $0.1x+0.05y=1.2$
• So we get $x=9$ and $y=6$
• therefore there will be $6$ dimes and $9$ nickels