Answer: she has 16 dimes and 48 nickels
Step-by-step explanation:
The worth of a dime is 10 cents. Converting to dollars, it becomes
10/100 = $0.1
The worth of a nickel is 5 cents. Converting to dollars, it becomes
5/100 = $0.05
Let x represent the number of dimes that she has in her wallet.
Let y represent the number of nickels that she has in her wallet.
she has three times as many nickels as she does dimes. This means that
y = 3x
the total value of the coins is $4.00. This means that
0.1x + 0.05y = 4 - - - - - - - - - - - 1
Substituting y = 3x into equation 1, it becomes
0.1x + 0.05 × 3x = 4
0.1x + 0.15x = 4
x = 4/0.25 = 16
y = 3x = 3 × 16
y = 48
