SOLUTION: A collection of dimes and nickels is worth $3.75. If there are 55 coins in the collection, how many of each are there? Create a system of equations representing this situation and
Algebra.Com
Question 608538: A collection of dimes and nickels is worth $3.75. If there are 55 coins in the collection, how many of each are there? Create a system of equations representing this situation and solve it to determine your answer.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A collection of dimes and nickels is worth $3.75. If there are 55 coins in the collection, how many of each are there? Create a system of equations representing this situation and solve it to determine your answer.
------
Quantity Eq.: d + n = 55 coins
Value Equat.:10d+5n = 375 cents
------------------------------------
Multiply thru the 1st Eq. by 5:
5d + 5n = 5*55
10d+ 5n = 375
----
Subtract and solve for "d":
5d = 100
d = 20 (# of dimes)
---
Solve for "n":
d + n = 55
20 + n = 55
n = 35
=============
Cheers,
Stan H.
================
RELATED QUESTIONS
A collection of dimes and nickels is worth $9.50. There are 132 coins in all.
How (answered by AlgebraLady88)
A collection of nickels and dimes total $4.05. There are 53 coins in the collection. How (answered by Maths68)
A collection of 72 coins is worth $7.20. There are 12 more nickels than dimes and the... (answered by josgarithmetic)
A collection of coins contains 7 more nickels than dimes. If the collection is worth... (answered by josgarithmetic)
Solve the following using system of equations
A collection of dimes and nickels is... (answered by Alan3354)
a collection of 50 coins is worth $5.20. There are 12 more nickels than dimes, and the... (answered by scott8148)
A collection of 21 nickels, dimes, and quarters is worth $2.50. There are five fewer... (answered by jorel1380)
In a collection of coins made up of dimes and nickels, there are three more nickels than... (answered by josgarithmetic,greenestamps)
In a coin collection there are Nickels, Dimes, and Quarters. If the total number of coins (answered by stanbon)