SOLUTION: You have 28 coins that are all nickels and dimes. The value of the coins is $2.05 define variables and write a system of equations for this situation. Explain the steps necessary t

Question 404036: You have 28 coins that are all nickels and dimes. The value of the coins is $2.05 define variables and write a system of equations for this situation. Explain the steps necessary to solve the system in part (a) solve the system
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You have 28 coins that are all nickels and dimes. The value of the coins is $2.05 define variables and write a system of equations for this situation. Explain the steps necessary to solve the system in part (a) solve the system
--------------------
Equations:
Quantity:: n + d = 28
Value:::: 5n +10d = 205 cents
------------------------------------
Multiply thru the 1st equation by 5 to get:
5n + 5d = 5*28
----
Subtract that from the Value Equation and solve for "d":
5d = 205-5*28
5d = 35
d = 7 (# of dimes)
----
Solve for "n":
n + d = 28
n + 7 = 28
n = 21 (# of nickels)
==========================
Cheers,
Stan H.
===========
RELATED QUESTIONS
you have 28 coins, they are nickles and dimes. The value of the coins is $2.05 Define... (answered by checkley71)

You have 28 coins that are all nickles and dimes. The value of the coins together is... (answered by oberobic)

Robert has 26 coins that are all nickels and dimes. The value of the coins is $1.85.... (answered by ewatrrr)

I have 28 coins in my pocket, they are all either nickels and dimes. There are eight more (answered by nerdybill)

Write a linear system that models the situation and solve. You have a total of 5... (answered by jim_thompson5910)

jack and betty have 28 coins that are nickels and dimes if the value of the coins is... (answered by josmiceli,JBarnum)

You have a total or 21 coins, all nickels and dimes. the total value is $1.70. Write and... (answered by checkley75)

A bag of coins contains 57 nickels and dimes. The value of coins is $3.95 a) define the... (answered by AnlytcPhil)

you have nickels and dimes in your wallet with a total value of $1.10. You have 17 coins... (answered by josmiceli)