SOLUTION: A cashier has 25 coins consisting of nickels, dimes, and quarters with a value of $4.90. If the number of dimes is one less than twice the number of nickels, how many of each type
Algebra.Com
Question 994077: A cashier has 25 coins consisting of nickels, dimes, and quarters with a value of $4.90. If the number of dimes is one less than twice the number of nickels, how many of each type of coins does she have?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A cashier has 25 coins consisting of nickels, dimes, and quarters with a value of $4.90. If the number of dimes is one less than twice the number of nickels, how many of each type of coins does she have?
----------
Quantity:: n + d + q = 25 coins
Value::: 5n + 10d+ 25q = 490 cents
Quantity:: d = 2n-1
------------------------------
Rearrange and modify::
n + d + q = 25
n + 2d + 5q = 98
2n - d + 0q = 1
------------
Use some method to solve for n, d, and q
---
I get:
n = 3
d = 5
q = 17
----------
Cheers,
Stan H.
--------
RELATED QUESTIONS
a cashier has 25 coins consisting of nickels dimes and quarters with a value of $4.90.... (answered by lwsshak3)
A cashier has 40 coins consisting of nickels, dimes, and quarters with a value of $6. If... (answered by josgarithmetic)
A cashier has 40 coins consisting of nickels, dimes, and quarters with a value of $6. If... (answered by ikleyn)
Max has 14 coins consisting of nickels, dimes, and quarters. The total value of the coins (answered by josgarithmetic)
in his report, the cashier of a snack bar turned a number of coins amounting to $6.25... (answered by CubeyThePenguin)
A cashier box has 3 types of coins (nickels, dimes and quarters). There are a total of 88 (answered by josmiceli,ikleyn)
SOLVE USING DETERMINANTS and CRAMER'S RULE
A coin collector has 41 coins consisting of (answered by pjalgeb)
70. Nickels, dimes, and quarters. Bernard has 41 coins consisting of nickels, dimes, and... (answered by macston)
The total value of the nickels, dimes, and quarters in a coin bank is $4. If the nickels... (answered by stanbon)