I have $3.85 in my pocket in dimes and quarters only. I have three times as many dimes in my pocket as I do quarters. How many of each type of coin do I have?

1 Answer
Sep 20, 2015

Answer:

You have #21# dimes and #7# quarters.

Explanation:

Let #x# be the number of quarters, and #3x# the number of dimes.

The amount of money you have can be written as #0.25x + 0.1*3x= 3.85#.

Now isolate #x# to find the number of quarters:
#0.25x + 0.1*3x = 3.85#
#0.25x + 0.3x = 3.85#
#0.55x = 3.85#
#x = 3.85/0.55 = 7 = # the number of quarters.

Then multiply by three to get the number of dimes: #7*3 = 21#

#7*$0.25 + 21*$0.1 = $3.85#