Data are
Number of coins N = 43
then
Pennies + Dimes + Quarters = P+D+Q = 43
also ,writing in cents
3.34• 10 = 1•P + 10•D + 25•Q
then
334 = P + 10D + 25Q
Number of pennies = dimes, P=D
Then write now
P + P + Q = 43
and
P + 10P + Q = 334
Then now solving , for P and Q
2P + Q = 43
11P +Q = 334
Solve by substitution
Substitute Q= 43 - 2P
Then
11P + (43 - 2P) = 334
11P - 2P = 334 - 43
9P = 291
. P = 291/9
. P = 32.3
Now find Q = 43 - 2P