Question

Question #4ea07

Answer 1

Denver nickel is valued at `$9`, and Philadelphia is valued at `$6`.

Explanation:

Given: The `D` nickel has a higher value than the `P` nickel because the fraction size is larger than `1`. We have two unknown values.

We can write: `D = 3/2 P`

We also know that `D + P = $15`

Then we can substitute the `P` value for `D` from the first equation into the second:

`3/2 P + P = $15`

`5/2 P = $15`

`5P = $30`

`P = $6`

`D = 3/2 P`

`2D = 3($6)`

`2D = $18`

`D = $9`

Check: `D + P = $15`

`$9 +$6 = $15`