Question 350072
Karen saves her change and has dimes, nickels, and pennies totaling $4.52. If there is 1 more dime than three times the number of nickels and 10 more pennies than nickels, how many of each type of coin are there?

...
let nickels = x
pennies = x+10
dimes= 3x+1
...
5x+x+10+10(3x+1)=452
5x+x+10+30x+10=452
36x+20=452
36x=452-20
36x=432
/36
x= 432/36
x=12 the number of nickels
pennies = 10+12 = 22
dimes =3x+1 = 37
...
CHECK
12*5 + 22*1+37*10= 452