SOLUTION: James paid $3.40 for lunch using a total of 16 nickels and quarters. How many of each coin did he have?

Question 1088586: James paid $3.40 for lunch using a total of 16 nickels and quarters. How many of each coin did he have?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

Let Q be the number of quarters.

Then the number of nickels is (16-Q).


The quarters contribute 25Q      cents to the total.

The nickels  contribute 5*(16-Q) cents to the total.


The total value equation is

25Q + 5*(16-Q) = 340  cents,

25Q + 80 - 5Q = 340,

20Q = 340 - 80 = 260  ====>  Q =  = 13.


Answer.  13 quarters and 16-13 = 3 nickels.

Solved.

There is entire bunch of lessons on coin problems
    - Coin problems
    - More Coin problems
    - Solving coin problems without using equations
    - Kevin and Randy Muise have a jar containing coins
    - Typical coin problems from the archive
    - More complicated coin problems
    - Solving coin problems mentally by grouping without using equations
    - Santa Claus helps solving coin problem
    - OVERVIEW of lessons on coin word problems
in this site.

You will find there the lessons for all levels - from introductory to advanced,
and for all methods used - from one equation to two equations and even without equations.

Read them and become an expert in solution of coin problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Coin problems".

RELATED QUESTIONS
James paid $3.40 for lunch using a total of 16 nickels and quarters. How many of each... (answered by ikleyn)

James has 25 nickels and dines. He has a total of $1.90. how many of each coin does he... (answered by gabbymad98)

Dudley paid a bill of $5.60 using an equal number of nickels, dimes and quarters. How... (answered by stanbon)

1) Ethan has quarter and nickels. If Ethan had six more quarters than and two times the... (answered by stanbon)

Jess has 3 more nickels than dimes for a total of $1.50. How many of each coin did he... (answered by stanbon,josmiceli,MathTherapy)

Marcos had 15 coins in nickels and quarters. He had 3 more quarters than nickels. How... (answered by macston)

larry has 40 coins worth a total of 8.80. some are nickels and the rest are quarters. How (answered by Alan3354)

Ron has 16 coins with a total value of $2.20. The coins are nickels and quarters. How... (answered by stanbon)

Marcos has 15 coin in nickels and quarters he had 3 more quarters than nickels how many... (answered by Alan3354)