Riley has 63 coins. Of the coins, 1/9 are nickels, 1/9 are dimes, and the rest are quarters. What is the ratio of Riley's nickels to dimes to quarters?
63 / 9 = n = 7
63 / 9 = d = 7
n + d = 14
q = 63 - 14 = 49
n/d= 1
n/q = d/q = 1/7
n:d:q = 7:7:49 = 1:1:7
To find the ratio of Riley's nickels to dimes to quarters, we first need to determine the number of coins that are nickels, dimes, and quarters.
Given that 1/9 of the coins are nickels and 1/9 of the coins are dimes, we can calculate the number of nickels and dimes as follows:
Number of nickels = (1/9) * 63
Simplifying this expression, we find:
Number of nickels = 7
Number of dimes = (1/9) * 63
Simplifying this expression, we also find:
Number of dimes = 7
Since the remaining coins are quarters, we can calculate the number of quarters by subtracting the number of nickels and dimes from the total number of coins:
Number of quarters = Total number of coins - (Number of nickels + Number of dimes)
= 63 - (7 + 7)
= 63 - 14
= 49
Now that we have the number of nickels, dimes, and quarters, we can determine the ratio.
The ratio of Riley's nickels to dimes to quarters is 7:7:49, or it can be simplified to 1:1:7.