# SOLUTION: You have 15 coins in your pocket that are either quarters or nickles. the total \$2.75. how many of each coin do you have?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Coins -> SOLUTION: You have 15 coins in your pocket that are either quarters or nickles. the total \$2.75. how many of each coin do you have?      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Word Problems: Coins Solvers Lessons Answers archive Quiz In Depth

Question 215018: You have 15 coins in your pocket that are either quarters or nickles. the total \$2.75. how many of each coin do you have?
You can put this solution on YOUR website!
You have 15 coins in your pocket that are either quarters or nickles. the total \$2.75. how many of each coin do you have?

Step 1. Let x be the number of quarters and 15-x be the number of nickles.

Step 2. Let 0.25x be the cost for x number of quarters.

Step 3. Let 0.05(15-x) be the cost for 15-x number of nickles.

Step 4. 0.25x+0.05(15-x)=2.75 where we added Steps 1 and 2.

Step 5. The following will solve the equation in Step 4.

Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: This is an equation! Solutions: x=10. Graphical form: Equation was fully solved.Text form: 0.25x+0.05*(15-x)=2.75 simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( 0.25x+0.05*(15-x)=2.75 )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

Look at .
Moved to the right of expression
It becomes .

Look at .
Moved these terms to the left
It becomes .

Look at .
Expanded term by using associative property on
It becomes .

Look at .
Replace constants in expression: , with
It becomes .

Look at .
Moved to the right of expression
It becomes .

Look at .
It becomes .

Look at .
Eliminated similar terms , replacing them with
It becomes .

Look at .
It becomes .

Look at .
Remove unneeded parentheses around factor ,
It becomes .

Look at .
Factors 20 and 100 have greatest common factor (GCF) of 20. Reducing fraction.
It becomes .

Look at .
Remove extraneous '1' from product
It becomes .

Look at .
Solved linear equation equivalent to 0.2*x-2 =0
It becomes .
Result:
This is an equation! Solutions: x=10.

### Universal Simplifier and Solver

Done!

With x=10, then 10-x=5. Let's check total value 0.25*10+0.05*5=2.50+0.25=2.70 ...so it checks out.

Step 6. ANSWER. The number of quarters is 10 and the number of nickels is 5.

I hope the above steps were helpful.