Hi,
Note***convert these problems to how many pennys or cents (they are all done that way)
1)Let x represent the number of dimes, then (x+9)is the number of nickels
5(x+9) + 10x = 135cents
solve for x
2) Let x represent the number of dimes, then (2x+1)is the number of quarters
10x + 25(2x+1) = 505 cents
solve for x
60x + 25 = 505
60x = 480
x = 8 dimes and therefore (2*8+1) quarters Or 17 quarters
checking our answer
80 + 425 = 505cents Or $5.05