SOLUTION: a vending machine has $20.50 in dimes and quarters. If the number of quarters is 5 more than dimes, how many of each type are there?
Algebra.Com
Question 900079: a vending machine has $20.50 in dimes and quarters. If the number of quarters is 5 more than dimes, how many of each type are there?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a vending machine has $20.50 in dimes and quarters. If the number of quarters is 5 more than dimes, how many of each type are there?
---------------------
Value Equation:: 10d + 25q = 2050 cents
Quantity Equation:: q = d + 5
----------------------------------
Modify:: 2d + 5q = 410
:::::::: q = d + 5
--------------------------
Substitute for "q" and solve for "d"::
2d + 5(d+5) = 410
2d + 5d + 25 = 410
7d = 385
d = 57 (# of dimes)
-----
Solve for "q"::
q = d + 5
q = 63 (# of quarters)
-------------------
Cheers,
Stan H.
-------------------
RELATED QUESTIONS
A vending machine has $6.30 in it. There are 52 coins total and the machine only accepts... (answered by CubeyThePenguin,josgarithmetic,ikleyn)
17 coins consisting of nickels dimes and quarters are collected for a newspaper vending... (answered by mangopeeler07)
A collection of nickels, dimes, and quarters is retrieved from a vending machine. There... (answered by josgarithmetic,math_tutor2020,ikleyn)
A vending machine contains nickels, quarters, and dimes with a total value of $83.75.... (answered by ankor@dixie-net.com,josgarithmetic,ikleyn,MathTherapy)
The coin box of a vending machine contains 6 times as many quarters as dimes. If the... (answered by theidiot)
The coin box of a vending machine contains 6 times as many quarters as dimes. If the... (answered by rajagopalan)
The coin box of a vending machine contains 6 times as many quarters as dimes. If the... (answered by richwmiller)
A vending machine accepts nickel, dimes and quarters. At the end of the day, there were... (answered by scott8148)
The coin box of a vending machine contains 6 times as many quarters as dimes. If the... (answered by Alan3354)