SOLUTION: penny has nothing but dimes and quarters in her coin purse. if she has 24 coins altogether and 3 times as many dimes as quarters , how much money does she have ? a) $8.40 b) $3.

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Question 238050: penny has nothing but dimes and quarters in her coin purse. if she has 24 coins altogether and 3 times as many dimes as quarters , how much money does she have ?
a) $8.40 b) $3.00 c) $3.60 d) $3.30 e) $5.10
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
Hello! First let's find out how many coins of each Penny has before we calculate their value. We know Penny has a total of 24 coins, 3 times as many dimes as quarters, so we can say this:
x = quarters
3x = dimes
24 = total coins ...your equation is now:
x%2B3x=24
Solve for x to find the number of quarters Penny has.
4x=24
x=%2824%2F4%29
x=6
Penny has 6 quarters. Now, figure out how many dimes Penny has.
Since 3x = dimes
%283%2A6%29=18
Penny has 18 dimes.
Now mulitply the number of quarters by its monetary value (0.25) and multiply the number of dimes by its monetary value (0.10).
.
%286%2A0.25%29=1.50 ...same as $1.50
%2818%2A0.10%29=1.80 ...same as $1.80
.
Now add them together to find the correct answer to the problem.
I'll let you finish it. :)