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?
+129847 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
