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I think I have to set up a system here:

 

Sarah has 600 quarters and dimes in her piggy bank which totals $123.75 how many quarters does she have?

 Feb 19, 2020
 #1
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+1

Let q  be the number of quarters and d  be the number  of dimes

 

Then we have this system :

 

q  +  d    =  600  →   d = 600  - q    (1)

.25q + .10d  = 123.75      (2)

 

Sub (1)  into (2)  for d and we have that

 

.25q + .10 ( 600 - q)   = 123.75    simplify

 

.25q  + 60  -.10q  =  123.75

 

.15q   + 60 = 123.75      subtract 60 from both sides

 

.15q  =  63.75      divide both sides by  .15

 

q = 425  → she has  425 quarters

 

 

cool cool cool

 Feb 19, 2020

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