Question

josue has $0.33 worth of pennies and nickels. he has a total of 13 pennies and nickels altogether. write a system of equations that could be used to determine the number of pennies and the number of nickels that josue has. define the variables that you use to write the system. answer attempt 1 out of 2 let = . let = . system of equations:

Explanation:

Step1: Define the variables

Let $p$ = the number of pennies.
Let $n$ = the number of nickels.

Step2: Write the equation for the total number of coins

The total number of pennies and nickels is 13, so $p + n=13$.

Step3: Write the equation for the total value of the coins

A penny is worth $0.01$ dollars and a nickel is worth $0.05$ dollars. The total value of the coins is $0.33$ dollars. So $0.01p + 0.05n=0.33$. Multiply through by 100 to get $p + 5n=33$.

Answer:

Let $p$ = the number of pennies.
Let $n$ = the number of nickels.
System of Equations:
$p + n=13$
$p + 5n=33$