Question 269341
In the 19th century, the united states minted two-cent and three-cent pieces. Frances Steib has three times as many three-cent pieces as two-cent pieces, and the face value of these coins is $2.42. How many of each denomination does she have?

let the number of two cent coins be x

the number of three cent coins will be 3x

value of 2cent coins is 2x

value of 3 cent coins is 3*3x

2x+9x=242

11x= 242
x=242/11

x=22

he has 22  2cent coins and 66 3 cent coins