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Jayden has $0.56 worth of pennies and nickels. He has a total of 20 pennies and nickels altogether. Determine the number of pennies and the number of nickels that jayden has

Respuesta :

Answer:

9 Nickels and 11 pennies

Step-by-step explanation:

Brainliest please!

Equation 1, number of coins:

p + n = 20

Equation 2, amount:

.01p + .05n = .56

System to solve:

    p +      n   =    20

.01p + .05n   =   .56

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Solve by substitution:

p + n = 20

p = 20 - n

.01(20 - n) + .05n  = .56

.20  - .01n + .05n = .56

Combine terms:

.04n = .36

n = 9

Jayden has nine nickels

From equation 1:

p + 9 = 20

p = 11

Jayden has 11 pennies