Answer :
Answer: there was 7 dimes and 13 nickels in the pile.
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 in the pile.
Let y represent the number of nickels in the pile.
The number of Nickels is one coin less than twice the number of dimes. This means that
y = 2x - 1
The total value of the pile is $1.35. This means that
0.1x + 0.05y = 1.35 - - - - - - - - - - - 1
Substituting y = 2x - 1 into equation 1, it becomes
0.1x + 0.05(2x - 1) = 1.35
0.1x + 0.1x - 0.05 = 1.35
0.2x = 1.35 + 0.05 = 1.4
x = 1.4/0.2 = 7
y = 2x - 1 = 2 × 7 - 1 = 14 - 1
y = 13