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Molly has eighty-six coins, all dimes or quarters, worth a total of $14.60. How many dimes does Molly have?

Define two variables and write a system of equations that represents the word problem. Use either substitution or elimination to solve and show all of your work.

 May 6, 2021
 #1
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Let  D = the  number of dimes  and Q  = the  number of quarters

 

The  system  is

 

D + Q   =   86

10D  + 25Q  =  1460

 

Rearrange the  first equation   as     Q  = 86  - D

Sub   this  into  the  second equation

 

10D  + 25 ( 86 - D)   =  1460      simplify

 

10D  +  2150  -  25D  =  1460

 

-15D  =  1460  -  2150

 

-15D  = -690

 

D = -690 / -15      =   46  dimes

 

And  Q  = 86 - 46   =  40  quarters

 

cool cool cool

 May 6, 2021
 #2
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CPhill how do you have the time to help so many people on here?! Honestly, it's amazing!

Guest May 7, 2021

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