Question 1060063
p = number of pennies
n = number of nickels
d = number of dimes


p + n + d = 242
p + 5n + 10d = 1046
n + d = p


Write everything in terms of n and d:


2n + 2d = 242
6n + 11d = 1046


Use any method (graphing, substitution, elimination) to solve for n and d, but we will use elimination.


6n + 6d = 726
-6n - 11d = -1046
------------------------
-5d = -320
d = 64 ----> n = 57


There were 121 pennies, 57 nickels, and 64 dimes.