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Lois has 10 coins in quarters and dimes in their pocket. After counting, the total value is $1.45. How many of each coin did Lois have?

 Feb 7, 2021
 #1
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10x   + 25(10-x) = 145

-15x = -105

x = dimes = 7

quarters = 10 -x = 3  

 Feb 7, 2021
 #2
avatar+118505 
+1

Let the number of quarters  =x  and the  number  of  dimes = 10  - x

 

So

 

Value of a quarter * their  number +  value of a dime  * their number =  1.45

 

.25 x  +  .10 (10 -x) =   1.45      simplify

 

.25x  +  1 - .10x  = 1.45

 

,25x  -.10x  =  1.45  - 1

 

.15x =  .45     divide  both sides  by  .15

 

x = 3  =   the number of quarters

 

10 - x  = 10 -  3  =  7   =  the number of dimes

 

 

cool cool cool

 Feb 7, 2021

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