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Ashley has 36 coins totaling $4.20 in quarters and dimes. How many of each coin does she have?

 Feb 19, 2021
 #1
avatar+31281 
+2

d = dimes                     value = 10d

q = quarters = 36 -d     value = 25 (36-d)            the values summed = 420

 

10d      +        25(36-d)     =       420     solve for d =# dimes    then  # q = 36-d

 Feb 19, 2021
 #2
avatar+507 
+2

q + d = 36

25q + 10d = 420

 

q = 36 - d

25 (36 - d) + 10d = 420

900 - 25d + 10d = 420

900 - 15d = 420

15d = 480

    d = 32

 

q + d = 36

q + (32) = 36

q = 4

 

There are 4 quarters and 32 dimes

 Feb 19, 2021
 #3
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+1

 

Ashley has 36 coins totaling $4.20 in quarters and dimes. How many of each coin does she have?     

 

If all 36 coins were dimes, then Ashley would have 3.60  

 

However, Ashley has 4.20, so we have to raise the total by 0.60  

 

Every time you substitute a quarter for a dime, you gain 0.15   

 

If you substitute four quarters for four dimes, you gain 0.60  

 

So, Ashley has 4 quarters and 32 dimes  

.

 Feb 19, 2021

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