Question

in a piggy bank, 40% of the coins are dimes and three-eighths of the remainder are nickels. A coin is randomly drawn from the bank. What is the probability that the coin is not a nickel? Give your answer as a percent.

Answer 1

In a piggy bank, 40% of the coins are dimes.
3/8 of the remainder are nickels.
The remainder is going to be 60%
1/8 of 60% is 7.5%. (just dividing by 8)
3/8 of 60% = 7.5% × 3 = 22.5% are nickels.
If 22.5% are nickels, then 77.5% are not.
The percentage of coins that aren't nickels is the same as the probability of drawing one because each coin has equal probability to be chosen.