SOLUTION: please I need help...thank you. Ravi took eight coins from his pocket, which contained only dimes, nickels, and quarters, and bought the Sunday Edition of The Daily Star for 7

Question 51424This question is from textbook college algebra
: please I need help...thank you.

Ravi took eight coins from his pocket, which contained only dimes, nickels, and quarters, and bought the Sunday Edition of The Daily Star for 75 cents. If the number of nickels he used was one more than the number of dimes, then how many of each type of coin did he use?? This question is from textbook college algebra

Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Ravi took eight coins from his pocket, which contained only dimes(D SAY), nickels(N SAY), and quarters (Q SAY), and bought the Sunday Edition of The Daily Star for 75 cents. If the number of nickels he used was one more than the number of dimes, then how many of each type of coin did he use??
D+N+Q=8.................1...SINCE D=10 C...N=5 CENTS AND Q=25 CENTS
10D+5N+25Q=75..................2
N=D+1..................3
SUBSTITUTING FOR N IN 1 & 2
D+D+1+Q=8.........2D+Q=7..............4
1OD+5D+5+25Q=75........15D+25Q=70..........5
25*EQN.4-EQN.5
5OD+25Q-15D-25Q=7*25-70
35D=175-70=105
D=3
N=3+1=4
Q=1
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