Question

Jason has $0.37 worth of pennies and nickels. He has a total of 13 pennies and nickels altogether. Determine the number of pennies and the number of nickels that Jason has.

Answer 1

Answer: Jason has 7 pennies and 6 nickels.

Explanation:

Let be "p" the number of pennies that Jason has and "n" the number of nickels that Jason has.

Set up a system of equations:

`\left \{ {p+n=13} \atop {0.01p+0.05n=0.37}} \right.`

You can use the Elimination Method. Multiply the first equation by -0.01 and add both equations:

`\left \{ {-0.01p-0.01n=-0.13} \atop {0.01p+0.05n=0.37 }} \right.\\................................\\0.04n=0.24\\\\n=6`

Susbtitute this value into the first equation and solve for "p":

`p+6=13\\\\p=13-6\\\\p=7`