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A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his change is $2.00, how many dimes and how many quarters does he have?

______dimes

_______quarters

 Dec 9, 2019
 #1
avatar+109064 
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Let the number  of dimes  =   N

So.....the number of quarters   must just be  14  - N

 

And

 

Number of dimes * value each  + Number of quarters * Value each  =  Total Change

 

(N) (.10)  + (14 - N) (.25)  =  2.00           simplify

 

.10N  + 3.5 - .25N  =  2.00

 

-.15N  + 3.5  =  3      subtract 3.5 from both sides

 

-.15N  = -1.5          divide both sides by  -.15

 

N =  10  =   number of dimes

 

14 - N  = 14   - 10   =   4   = number of quarters

 

 

 

 

cool cool cool

 Dec 9, 2019

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