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The number of quarters, dimes, and nickels in Peter’s pocket forms a 3:4:6 ratio.Together, Peter has a total $2.90. How many coins does Peter have?

 Jun 19, 2021
 #1
avatar+1428 
+1

Peter had 26 coins.

6 quarters

8 dimes

12 nickles

 Jun 19, 2021
 #2
avatar+120930 
+1

The  quarters  are   (3/13)  of  the  coins

The  dimes are  ( 4/13) of  the  coins

The nickels  are  ( 6/13)  of  the  coins

Call  N the total  number of coins  

 

So

 

.25 (3/13)N  + .10 (4/13)N  +  .05 ( 6/13)N  =  2.90

 

(1/4) (3/13)N +  (1/10) (4/13)N  + (1/20)(6/13)N   =  2.90

 

(3/52)N  +   (4/130)N  + (3/130)N   = 2.90

 

(3/52)N   +  (7/130) N   = 2.90

 

(29/260)N   =  2.90

 

N  =   (2.9)(260 / 29)      =    (1/10) ( 260)   =     26  coins

 

 

cool cool cool

 Jun 19, 2021
edited by CPhill  Jun 19, 2021

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