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Amber has 19 coins that are dimes and quarters. If they are worth $3.70 then how many dimes and quarters does she have?

 Mar 30, 2020
 #1
avatar+1948 
+1

Let

 

x= dimes

y= quarters

 

x+y=19

10x+25y=370

 

Use elimination....

 

10x+10y=190

10x+25y=370 (subtract both equations)

 

-15y=-180

y=12

 

So, there are 12 quarters and 7 dimes.

 Mar 30, 2020
 #3
avatar+626 
0

Good job Cal! smiley

AnExtremelyLongName  Mar 30, 2020
 #2
avatar+23541 
+1

d = dimes                    value      10 d

q = quarters = 19-d     value     25 (19-d)    summed = 370

10d     +      25(19-d)       =    370                 solve for d , the number of dimes    then   #q = 19-d

 Mar 30, 2020
 #4
avatar+1948 
0

Thanks, AELN!

CalTheGreat  Mar 30, 2020

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