Respuesta :
Answer:
15 Nickels, 11 Pennies
Step-by-step explanation:
Simplify your life and take out the decimals
5*N + P = 86
P + 4 = N (4 more nickels than pennies)
By substitution of the second eq into the first: 5*(P+4) + P = 86
5*P + 20 + P = 86
6P = 66
P = 11, so N = 4 + 11 = 15
Answer:Ruby has 11 pennies and 15 nickels.
Step-by-step explanation:
The worth of a penny is 1 cent. Converting to dollars, it becomes
1/100 = $0.01
The worth of a nickel is 5 cents. Converting to dollars, it becomes
5/100 = $0.05
Let x represent the number of pemnies that Ruby has.
Let y represent the number of nickels that Ruby has.
She has 4 more nickels than pennies. This means that
y = x + 4
Ruby has $0.86 worth of pennies and nickels. This means that
0.01x + 0.05y = 0.86 - - - - - - - - - - - 1
Substituting y = x + 4 into equation 1, it becomes
0.01x + 0.05(x + 4) = 0.86
0.01x + 0.05x + 0.2 = 0.86
0.06x = 0.86 - 0.2 = 0.66
x = 0.66/0.06
x = 11
y = x + 4 = 11 + 4
y = 15
