Alex's friends have collected 180 gold coins to give to charity. Alex decides he wants to donate some gold coins also, so he adds some gold coins to the 180 that his friends have already collected. Alex decides he must donate an integer number of coins which will make up between 10% and 20%, inclusive, of the total number of gold coins donated. What is the difference between the maximum number of gold coins Alex can donate and the minimum number of gold coins he can donate?
To find the difference between the maximum and minimum number of gold coins Alex can donate, we need to determine the range of values that fall within 10% and 20% of the total number of gold coins.
First, let's calculate the percentage range of the total number of gold coins that Alex can donate:
10% of the total number of gold coins = 0.1 * 180 = 18 coins
20% of the total number of gold coins = 0.2 * 180 = 36 coins
Therefore, Alex can donate between 18 and 36 coins for his donation to fall within the given range.
The difference between the maximum and minimum number of coins Alex can donate is:
36 - 18 = 18 coins
Therefore, the difference between the maximum and minimum number of gold coins Alex can donate is 18 coins.
180 * 0.1 = ?
180 * 0.2 = ?