Question #4ea07

1 Answer
Mar 13, 2017

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#