Question

A purse contains a collection of quarters, dimes, nickels, and pennies. The average value of the coins in the purse is 17 cents. If a penny is removed from the purse, the average value of the coins becomes 18 cents. How many nickels are in the purse?

Answer 1

Answer:

There are total of 17 coins in the purse

Step-by-step explanation:

Let x represent the no of coins in the purse

Let y represent the total amount

 y/x = 0.17

y = 0.17*x............................(i)

y-0.01 / x-1 = 0.18

y - 0.01 = 0.18x -0.18........(ii)

We substitute y = 0.17 x into the second equation:

0.17x - 0.01 = 0.18x - 0.18

0.17 = 0.01x

x = 17

Hence, there are total of 17 coins in the purse