Question

Kennedy has $0.81 worth of pennies and nickels. She has 9 more nickels than pennies. Write a system of equations that could be used to determine the number of pennies and the number of nickels that Kennedy has. Define the variables that you use to write the system of equations.

Answer 1

Let x be the number of pennies, and y be the number of nickels.

1 penny = 0.01 dollar

1 nickel = 0.05 dollar.

The equations that will describe the given problem will be,

0.01 x + 0.05 y = 0.81

y = x + 9

Plugging the second equation into the first gives us,

0.01 x + 0.05(x+ 9) = 0.81

0.06 x + 0.45 = 0.81

0.06 x = 0.36

y = 15

So, Kennedy has 6 pennies, and 15 nickels.

Explanation:

Answer 2

Explanation:

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